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())

n_ab = 0
n_b = 0
n_a = 0
n_both = 0
for i in range(N):
    S = input()
    # 前後情報とABの数だけ調べておく
    n_ab += S.count("AB")
    if S[-1] == "A" and S[0] != "B":
        n_a += 1
    if S[0] == "B" and S[-1] != "A":
        n_b += 1
    if S[-1] == "A" and S[0] == "B":
        n_both += 1       
ans = n_ab+min(n_b+n_both,n_a+n_both)
if n_a==0 and n_b==0:
    ans -= 1

print(int(ans))