Problem Statement

Ringo loves the integer $200$. Solve the problem below for him. Given a sequence $A$ of $N$ positive integers, find the pair of integers $(i, j)$ satisfying all of the following conditions:

• $1 \le i < j \le N$;
• $A_i - A_j$ is a multiple of $200$.

Constraints

• All values in input are integers.
• $2 \le N \le 2 \times 10^5$
• $1 \le A_i \le 10^9$

Input

Input is given from Standard Input in the following format:

N
A_1 A_2 \dots A_N

Output

Print the answer as an integer.