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.math.*;
import java.util.Scanner;
public class Main {

	public static void main(String[] args) {
		BigInteger a,b,c;
		Scanner cin = new Scanner(System.in);
		while(cin.hasNext()) {
			a = cin.nextBigInteger();
			b = cin.nextBigInteger();
			c = a.max(b);
			if(a.equals(c)&&!b.equals(c)) 
				System.out.println("GREATER");
			else if(b.equals(c)&&!a.equals(c))
				System.out.println("LESS");
			else 
				System.out.println("EQUAL");
		}
		cin.close();
	}

}