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);
        char[] a = sc.next().toCharArray();
        char[] b = sc.next().toCharArray();
        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++){
                if(a[i]>b[i]){
                    ans = "GREATER";
                    break;
                } else if(a[i]<b[i]){
                    ans = "LESS";
                    break;
                }
                ans = "EQUAL";
            }
        }
        System.out.println(ans);
}
}