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.BigDecimal;
import java.util.Scanner;
public class Main {
	public static void main(String[] args) {
	  Scanner sc = new Scanner(System.in);
	  BigDecimal A = sc.nextBigDecimal();
	  BigDecimal B = sc.nextBigDecimal();
	  int c = A.compareTo(B);
	  if(c==0) {
		  System.out.print("EQUAL");
	  }
	  else if(c>0) {
		  System.out.print("GREATER");
	  }
	  else {
		  System.out.print("LESS");
	  }
	  sc.close();
    }
}