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{
	static String Comp(String s, String t){
		if(s.length()>t.length())return"GREATER";
		else if(s.length()<t.length())return"LESS";
		else{
			for(int i=0; i<s.length(); i++){
				if(Character.getNumericValue(s.charAt(i))>Character.getNumericValue(t.charAt(i)))return "GREATER";
				else if(Character.getNumericValue(s.charAt(i))<Character.getNumericValue(t.charAt(i)))return "LESS";
			}
		return "EQUAL";
		}
	}

	public static void main(String[] args){
		Scanner sc = new Scanner(System.in);
		String a = sc.next();
		String b = sc.next();
		System.out.println(Comp(a, b));
	}
}