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();
    	String ans = "EQUAL";
    	if (A.length() < B.length()) {
    		ans = "LESS";
    	} else if (B.length() < A.length()) {
    		ans = "GREATER";
    	} else {
    		for (int i = 0; i < A.length(); i++) {
    			if (A.charAt(i) < B.charAt(i)) {
    				ans = "LESS";
    				break;
    			} else if (B.charAt(i) < A.charAt(i)) {
    				ans = "GREATER";
    				break;
    			}
    		}
    	}
    	System.out.println(ans);
    }
}