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 C++14 (GCC 5.4.1) (judge verdict: Accepted)

#include<iostream>
#include<string>
#include<cstdio>
#include<algorithm>
#include<cstdlib>
#include<cmath>
#include<vector>
#include<utility>
#include<queue>
#include<stack>
#include<set>
#include<map>
#include<unordered_set>
#include<unordered_map>
#include<bitset>
using namespace std;
#define INF 1000000007
#define LINF 100000000000000007
#define MOD 1000000007
#define int long long
#define rep(i,n) for(int i=0;i<n;i++)
#define repb(i, n) for (int i = n - 1; i >= 0; i--)
#define MODE 1
#ifdef MODE
#define DEB(X) cout<< #X <<": "<<X<<" ";
#define ARDEB(i,X) cout<< #X <<"["<<i<<"]: "<<X[i]<<" ";
#define END cout<<endl;
#else
#define DEB(X) {}
#define ARDEB(i,X) {}
#define END {}
#endif
typedef long long ll;
typedef pair<int,int> P;
struct edge{int to,cost;};
using namespace std;

int n,ans;
string s,t;
signed main(){
    cin>>s;
    n=s.size();
    rep(i,n){
    	if(s[i]=='B'&&s[i+1]=='C'){
    		t+="X";
    		i++;
    	}
    	else t+=s[i];
    }
    int cnt=0,cntX=0;
    rep(i,n){
    	if(t[i]=='A'||t[i]=='X'){
    		cnt++;
    		if(t[i]=='X'){
    			cntX++;
    			ans+=cnt-cntX;
    		}
    	}
    	else {
    		cnt=0;cntX=0;
    	}
    }
    cout<<ans<<endl;
}