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.*;
import java.io.*;
public class Main {
    public static void main(String[]args){
		Scanner sc = new Scanner(System.in);
		PrintWriter ou = new PrintWriter(System.out);
		String a = sc.next();
		String b = sc.next();
		sc.close();
		if(a.length() > b.length()) ou.println("GREATER");
		else if(a.length() < b.length()) ou.println("LESS");
		else{
			boolean co = true;
			int ke = 0;
			while(co){
				co = false;
				if(ke == a.length()) ou.println("EQUAL");
				else if(a.charAt(ke) > b.charAt(ke)) ou.println("GREATER");
				else if(a.charAt(ke) < b.charAt(ke)) ou.println("LESS");
				else co = true;
				ke++;
			}
		}
		ou.flush();
	}
}