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) {
		// TODO 自動生成されたメソッド・スタブ
		Scanner scan = new Scanner(System.in);
		String A = scan.next();
		String B = scan.next();

		String ans="EQUAL";//A>B true B<A false

		if(A.length()>B.length()){
			ans = "GREATER";
		}else if(A.length()<B.length()){
			ans = "LESS";
		}else{
			//桁数が同じ
			for(int i=0;i<A.length();i++){
				int a =Integer.parseInt(A.substring(i, i+1));
				int b =Integer.parseInt(B.substring(i, i+1));
				if(a>b){
					ans ="GREATER";
					break;
				}else if(a<b){
					ans ="LESS";
					break;
				}
			}
		}


		System.out.println(ans);

	}

}