Problem:
Score : 400 points

Problem Statement

Snuke has N strings. The i-th string is s_i.

Let us concatenate these strings into one string after arranging them in some order.
Find the maximum possible number of occurrences of AB in the resulting string.

Constraints

1 \leq N \leq 10^{4}

2 \leq |s_i| \leq 10

s_i consists of uppercase English letters.

Input

Input is given from Standard Input in the following format:

N
s_1
\vdots
s_N

Output

Print the answer.

Sample Input 1

3
ABCA
XBAZ
BAD

Sample Output 1

2

For example, if we concatenate ABCA, BAD and XBAZ in this order, the resulting string ABCABADXBAZ has two occurrences of AB.

Sample Input 2

9
BEWPVCRWH
ZZNQYIJX
BAVREA
PA
HJMYITEOX
BCJHMRMNK
BP
QVFABZ
PRGKSPUNA

Sample Output 2

4

Sample Input 3

7
RABYBBE
JOZ
BMHQUVA
BPA
ISU
MCMABAOBHZ
SZMEHMA

Sample Output 3

4

Solution in C# (Mono 4.6.2.0) (judge verdict: Wrong Answer)

using System;
using System.Collections.Generic;
using System.Linq;

class Program
{
    static void Main(string[] args)
    {
        int N = int.Parse(Console.ReadLine());
        int A = 0;
        int B = 0;
        int AB = 0;
        int BandA = 0;
        for (int i = 0; i < N; i++)
        {
            string input = Console.ReadLine();
            if (input[0] == 'B') { B++; }
            if (input[input.Length - 1] == 'A') { A++; }
            if(input[0] == 'B'&& input[input.Length - 1] == 'A') { BandA++; }
            for(int j = 0; j < input.Length - 1; j++)
            {
                if (input[j] == 'A' && input[j + 1] == 'B') { AB++; }
            }
        }
        if (A > B) { Console.WriteLine(AB + B); 
        }
        else {
            if (B == BandA) { Console.WriteLine(AB + A - 1); }
            else { Console.WriteLine(AB + A); }
        }
    }
}