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.Scanner;
import java.math.BigInteger;

class Main {
    public static void main(String args[]) {
    int num = 0;
    BigInteger a, b;
    
    Scanner in = new Scanner(System.in);
    //System.out.println("Enter two number: ");
    a = in.nextBigInteger();
    b = in.nextBigInteger();
    
    int res = a.compareTo(b);
    if(res < 0) 
        System.out.println("LESS");
    else if (res == 0)
        System.out.println("EQUAL");
    else
        System.out.println("GREATER");
    }
}