A professor went to a party. Being an erudite person, he classified the party into two categories. He proposed that if all the persons in the party are wearing different colored robes, then that is a girl’s only party. If we even get one duplicate color, it must be a boy’s party. The colors of the robes are represented by positive integers.

Example 1:

Input
N = 5
A[] = {1, 2, 3, 4, 7}
Output
GIRLS
Explanation:
All the colors are unique so it's a GIRLS party.

Example 2:

Input
N = 6
A[] = {1, 3, 2, 4, 5, 1}
Output
BOYS
Explanation:
There are two colors 1. So it's a BOYS party.

Your task:
You don't need to print the answer, printing is done by the driver code itself. You have to complete the function PartyType() which takes the array A[] and its size N as inputs and returns  “BOYS” (without quotes) if it’s a boy’s party, else returns “GIRLS”.

Expected Time Complexity: O(N)
Expected Auxiliary Space: O(N)

Constraints
1 ≤ N ≤ 10⁵
1 ≤ A_i ≤ 10¹²