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.nextLine();
    String b = sc.nextLine();
    int idx = 0;

    if(a.length() > b.length()){
      System.out.println("GREATER");
      System.exit(0);
    }else if(a.length() < b.length()){
      System.out.println("LESS");
      System.exit(0);
    }

//charAt(-1)はout of boundsになるのでifで防ぐ
    while(a.charAt(idx) == b.charAt(idx) && idx < a.length()){
      idx++;
      if(idx == a.length()) break;
    }

    if(idx == a.length()){
      System.out.println("EQUAL");
      System.exit(0);
    }

    if(a.charAt(idx) > b.charAt(idx)){
      System.out.println("GREATER");
    }else{
      System.out.println("LESS");
    }

  }
}