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();

		if (A.length()>B.length()) {
			System.out.println("GREATER");
		} else if(A.length()==B.length()){
			for (int i = 0; i < A.length(); i++) {
				char a = A.charAt(i);
				char b = B.charAt(i);
				if (a > b) {
					System.out.println("GREATER");
					break;
				}else if(a < b) {
					System.out.println("LESS");
					break;
				}
				if (i== A.length()-1) {
					System.out.println("EQUAL");
				}
			}

		}else if(A.length()<B.length()){
			System.out.println("LESS");
		}




	}


}