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 {

	public static void main(String[] args) {
		Scanner scan = new Scanner(System.in);
		String a = scan.next();
		String b = scan.next();
		scan.close();
		int check=0;
		if(a.length()>b.length())check=1;
		else if(a.length()<b.length())check=2;
		else {
			for(int i=0;i<a.length();i++) {
				int anum=Character.getNumericValue(a.charAt(i));
				int bnum=Character.getNumericValue(b.charAt(i));
				if(anum!=bnum) {
					if(anum>bnum)check=1;
					else check=2;
					break;
				}
			}
		}
		if(check==0)System.out.println("EQUAL");
		else System.out.println((check==1)? "GREATER":"LESS");
	}
}