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.*;

class Main{
    public static void main(String[] args){
        Scanner sc = new Scanner(System.in);
        String A = sc.next();
        String B = sc.next();
        String ans=" ";
        if(A.length()>B.length()) ans = "GREATER";
        else if(A.length()<B.length()) ans = "LESS";
        else{
            for(int i=0;i<A.length();i++){
                int a = A.charAt(i);
                int b = B.charAt(i);
                if(a!=b){
                    ans = a>b?"GREATER":"LESS";
                    System.out.println(ans);
                    System.exit(0);
                }
                ans = "EQUAL";
            }
        }
        System.out.println(ans);
    }
}