Score : $600$ points

Problem Statement

You are given a string $s$ consisting of A, B and C.

Snuke wants to perform the following operation on $s$ as many times as possible:

• Choose a contiguous substring of $s$ that reads ABC and replace it with BCA.

Find the maximum possible number of operations.

Constraints

• $1 \leq |s| \leq 200000$
• Each character of $s$ is A, B and C.

Input

Input is given from Standard Input in the following format:

$s$

Output

Find the maximum possible number of operations.

ABCABC

3

You can perform the operations three times as follows: ABCABC → BCAABC → BCABCA → BCBCAA. This is the maximum result.

C

0

ABCACCBABCBCAABCB

6