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.io.*;
import java.util.*;
import java.text.*;
import java.math.*;
import java.util.regex.*;
 
public class Main {
 
  public static void main(String[] args) {
      Scanner in = new Scanner(System.in);
      int result;
      String a = in.nextLine();
      String b = in.nextLine();
 
      BigInteger aa = new BigInteger(a);
      BigInteger bb = new BigInteger(b);
 
      result = aa.compareTo(bb);
 
      if (result == 0) {
        System.out.println("EQUAL");
      } else if (result == 1) {
        System.out.println("GREATER");
      } else if (result == -1) {
          System.out.println("LESS");
      }
  }
}