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) {
		// TODO Auto-generated method stub
		Scanner sc = new Scanner(System.in);
		String a = sc.next();
		String b = sc.next();
		int flag = 0;
		if(a.length() > b.length())
			flag = 1;
		else if(a.length() < b.length())
			flag = -1;
		else{
			for(int i = 0; i < a.length(); i++){
				int aCur = a.charAt(i) - '0';
				int bCur = b.charAt(i) - '0';
				if(aCur > bCur){
					flag = 1;
					break;
				}
				else if(aCur < bCur){
					flag = -1;
					break;
				}
			}
		}
		
		if(flag == 1){
			System.out.println("GREATER");
		}
		else if(flag == 0){
			System.out.println("EQUAL");
		}
		else{
			System.out.println("LESS");
		}
		
		sc.close();
	}

}