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 CPP):

Solution:
#include <cstdio>
#include <cstring>
using namespace std;
char a[105], b[105];
int d;
int main() {
	scanf("%s%s", a, b);
	d = strlen(a) - strlen(b);
	if(!d) d = strcmp(a, b);
	printf("%s", d ? d>0?"GREATER":"LESS" : "EQUAL");
	return 0;
}