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 Python (3.4.3) (judge verdict: Wrong Answer)

#!/usr/bin/env python3
import sys


def solve(N: int, S: "List[str]"):
    ret = 0
    a = 0
    b = 0
    ab = 0
    for s in S:
        i = 0
        for i in range(len(s) - 1):
            if s[i:i+2] == 'AB':
                ret += 1
        if s[0] == 'B':
            a += 1
        if s[-1] == 'A':
            b += 1
        if s[0] == 'B' and s[-1] == 'A':
            ab += 1
    ret += min(a, b)
    if a == b and a == ab:
        ret -= 1
    print(ret)
    return


def main():
    def iterate_tokens():
        for line in sys.stdin:
            for word in line.split():
                yield word
    tokens = iterate_tokens()
    N = int(next(tokens))  # type: int
    s = [ next(tokens) for _ in range(N) ]  # type: "List[str]"
    solve(N, s)

if __name__ == '__main__':
    main()