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: Runtime Error)

N = int(input())
s_list = []
count = 0
n, m, l = 0, 0, 0

for i in range(N):
  s = input()
  s_list.append(s)
  count += s.count('AB')
  if s[0] == 'B' and s[-1] == 'A':
    n += 1
    continue
  elif s[-1] == 'A':
    m += 1
  elif s[0] == 'B':
    l += 1

if n < m and n < l:
  print(int(count + 2 * n + min(m - n, l - n)))
elif n > m and n > l:
  print(int(count + 2 * (n - max(m, l) + m + l)
else:
  print(int(count + min(n, m) + min(n, l)))