Problem:
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.

Sample Input 1

ABCABC

Sample Output 1

3

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

Sample Input 2

C

Sample Output 2

0

Sample Input 3

ABCACCBABCBCAABCB

Sample Output 3

6

Solution in Lua (LuaJIT 2.1.0) (judge verdict: Accepted)

local s=io.read():gsub("BC","D")
local counter=0
local answer=0
for i=1,#s do
    if s:byte(i)==65 then
        counter=counter+1
    elseif s:byte(i)==68 then
        answer=answer+counter
    else
        counter=0
    end
end
print(answer)