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;

class Main{
	public static void main(String[] ag) {
		Scanner sc=new Scanner(System.in);
		String A=sc.next();
		String B=sc.next();

		if(A.length()>B.length()) {
			int diff=A.length()-B.length();
			for(int i=0; i<diff; i++) {
				B="0"+B;
			}
		}
		else if(A.length()<B.length()) {
			int diff=B.length()-A.length();
			for(int i=0; i<diff; i++) {
				A="0"+A;
			}
		}

		for(int i=0; i<A.length(); i++) {
			int AA=Integer.parseInt(A.charAt(i)+"");
			int BB=Integer.parseInt(B.charAt(i)+"");

			if(AA>BB) {
				System.out.println("GREATER");
				System.exit(0);
			}

			else if(AA<BB) {
				System.out.println("LESS");
				System.exit(0);
			}
		}
		System.out.println("EQUAL");
	}
}