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);
		char[] A = sc.next().toCharArray();
		char[] B = sc.next().toCharArray();

		if(A.length > B.length) {
			System.out.println("GREATER");
			return;
		}else if(A.length < B.length) {
			System.out.println("LESS");
			return;
		}else {
			int i = 0;
			while(i < A.length) {
				if(A[i] > B[i]) {
					System.out.println("GREATER");
					return;
				}else if(A[i] < B[i]) {
					System.out.println("LESS");
					return;
				}
				i++;
			}
			System.out.println("EQUAL");
		}
	}
}