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) {
		Scanner sc = new Scanner(System.in);
		String a = sc.next();
		String b = sc.next();
		int diff = a.length() - b.length();
		String zero = "0";
		for (int i = 1; i < Math.abs(diff); i++) {
			zero.concat("0");
		}
		if (diff < 0) {
			a = zero.concat(a);
			//System.out.print(a);
		}else if(diff > 0) {
			b = zero.concat(b);
			//System.out.print(b);
		}
		if (a.compareTo(b) < 0) {
			System.out.print("LESS");
		} else if (a.compareTo(b) > 0) {
			System.out.print("GREATER");
		} else {
			System.out.print("EQUAL");
		}
	}
}