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 {

    private static Scanner scan = new Scanner(System.in);

    public static void main(String[] args) {
	String s1 = scan.next();
	String s2 = scan.next();

	String ans = "EQUAL";
	if(s1.length() > s2.length()) ans = "GREATER";
	else if(s1.length() < s2.length()) ans = "LESS";
	else {
	    for (int i = 0; i < s1.length(); i++) {
		if(s1.charAt(i) > s2.charAt(i)) {
		    ans = "GREATER";
		    break;
		} else if(s1.charAt(i) < s2.charAt(i)) {
		    ans = "LESS";
		    break;
		}
	    }
	}

	System.out.println(ans);
	scan.close();
    }
}