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;

namespace diverta2019_C
{
    class Program
    {
        static void Main(string[] args)
        {
            var N = int.Parse(Console.ReadLine());
            var count = 0;
            var countA = 0;
            var countB = 0;

            for (var i = 0; i < N; i++)
            {
                var str = Console.ReadLine();
                var str2 = str.ToCharArray();

                for (var j=0;j<str.Length-1;j++)
                    if (str[j] == 'A' && str[j+1] == 'B')
                        count++;

                var strB = str.Substring(0, 1);
                if (strB == "B")
                    countB++;
                var strA = str.Substring(str.Length - 1);
                if (strA == "A")
                    countA++;
            }

            var min = Math.Min(countA, countB);
            Console.WriteLine(count + min);
        }
    }
}