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 in = new Scanner(System.in);
		String a = in.next(), b = in.next();
		
		if(a.length() == b.length()){
			boolean equal = true;
			for(int i = 0; i < a.length(); i++){
				if(a.charAt(i) > b.charAt(i)){
					System.out.println("GREATER");
					equal = false;
					break;
				}else if(a.charAt(i) < b.charAt(i)){
					System.out.println("LESS");
					equal = false;
					break;
				}
			}
			if(equal){
				System.out.println("EQUAL");
			}
		}else{
			System.out.println(a.length() > b.length() ? "GREATER" : "LESS");
		}
	}
}