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.io.IOException;
import java.math.BigInteger;
import java.util.Scanner;

public class Main {
	public static void main(String[] args) throws IOException{
	Scanner sc	= new Scanner(System.in);
	BigInteger a = sc.nextBigInteger();
	BigInteger b = sc.nextBigInteger();
	
	if(a.compareTo(b)==1){
		System.out.println("GREATER");
	}else if (a.compareTo(b)==-1) {
		System.out.println("LESS");
	}else {
		System.out.println("EQUAL");
	}
	}
}