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();
		sc.close();
	
		//出力
		String ans=null;
		if (a.length() > b.length() ){
			ans = "GREATER";
		}else if( a.length() < b.length() ){				
			ans = "LESS";
		}else{
			for(int i=0; i<a.length(); i++){
				int da = a.charAt(i);
				int db = b.charAt(i);
				if(da>db){
					ans = "GREATER";
					break;
				}else if(db>da){
					ans = "LESS";
					break;
				}
			}				
			if(ans==null){
				ans = "EQUAL";
			}
		}
		
		System.out.println(ans);

	}

}