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(),b = sc.next();
    //文字列の長さで判断（桁数で判断）
    if(a.length() > b.length()){
      System.out.println("GREATER");
    }else if(a.length() < b.length()){
      System.out.println("LESS");
    }else{//上位桁から判断
      int aa=0 ,bb=0;
      for(int i = 0;i < a.length();i++){
        aa = Integer.valueOf(a.substring(i,i+1));
        bb = Integer.valueOf(b.substring(i,i+1));
        if(!(aa == bb)){
          break;
        }
      }
      if(aa > bb){
        System.out.println("GREATER");
      }else if(aa == bb){
        System.out.println("EQUAL");
      }else{
        System.out.println("LESS");
      }
    }
  }
}