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())

cnt = 0
cnt_BA = 0
cnt_A = 0
cnt_B = 0

for i in range(N) : 
    tmp = (input())
    cnt += tmp.count("AB")
    tmp = tmp[0] +tmp[-1]
    if tmp == "BA" : 
        cnt_BA += 1
    if tmp[-1] == "A" : 
        cnt_A += 1
    if tmp[0] == "B" : 
        cnt_B += 1
    
m = min(cnt_A, cnt_B)

if cnt_BA == cnt_A and cnt_BA == cnt_B : 
    print(m-1+cnt)
else : 
    print(m+cnt)