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())
ans = 0
xx = 0
xA = 0
Bx = 0
BA = 0
for i in range(N):
  S = input()
  for i in range(len(S) - 1):
    if S[i] == "A" and S[i + 1] == "B":
      ans += 1
  if S[0] == "B":
    if S[-1] == "A":BA += 1
    else:Bx += 1
  else:
    if S[-1] == "A":xA += 1
    else:xx += 1
if BA == N:
  ans += N -1
else:
  ans += min(BA + Bx,xA + BA)
print(ans)