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.*;
public class Main {

	public static void main(String[] args) {
		// TODO 自动生成的方法存根
		Scanner sc=new Scanner(System.in);
		String a=sc.nextLine();
		String b=sc.nextLine();
		if(a.length()>b.length()) {
			System.out.println("GREATER");
		}else if(a.length()<b.length()) {
			System.out.println("LESS");
		}else{
			if(a.compareTo(b)>0) {
				System.out.println("GREATER");
			}else if(a.compareTo(b)<0){
				System.out.println("LESS");
			}else {
				System.out.println("EQUAL");
			}
		}
	}

}