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 io = new Scanner(System.in);
		String A = io.next();
		String B = io.next();
		
		int result = A.length()-B.length();
		
		if(result==0){
			for(int i = 0;i<A.length();i++){
				int a = Character.getNumericValue(A.charAt(i));
				int b = Character.getNumericValue(B.charAt(i));
				if(a-b!=0) {
					result = a-b;
					break;
				}
			}
		}
		System.out.println((result>0)? "GREATER":
							(result<0)? "LESS":
										"EQUAL");
		
	}
}