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>


int main(void)
{
	char a[100+2], b[100+2];
	int r;

	while(scanf("%s%s", a, b)==2)
	{
		r=strlen(a)-strlen(b);
		if(r==0)
		{
			r=strcmp(a, b);
		}
		if(r>0) printf("GREATER\n");
		if(r<0) printf("LESS\n");
		if(r==0) printf("EQUAL\n");
	}

	return 0;
}