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)

N = int(input())
s = [input() for i in range(N)]
count = 0
l = []
a = 0
b = 0
ab = 0
for i in s:
  count+=i.count("AB")
for i in s:
  if list(i)[0] == "B" and list(i)[-1] != "A":
    l.append(i)
    b += 1
  elif list(i)[-1] == "A" and list(i)[0] != "B":
    l.append(i)
    a += 1
  elif list(i)[-1] == "A" and list(i)[0] == "B":
    l.append(i)
    ab += 1
count += min(a, b) + ab
print(count)