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 = [input() for i in range(n)]

ans = 0
start_b = 0
end_a = 0
ab = 0

for i in range(n):
    for j in range(len(S) - 1):
        if S[i][j] + S[i][j + 1] == 'AB':
            ans += 1

    if S[i][0] == 'B' and S[i][-1] == 'A':
        ab += 1
        continue 
    if S[i][0] == 'B':
        start_b += 1
    if S[i][-1] == 'A':
        end_a += 1
    

if ab > 0:
    ans += ab - 1
    if start_b > 0:
        ans += 1
        start_b -= 1
    if end_a > 0:
        ans += 1
        end_a -= 1
        
ans += min(start_b, end_a)

print(ans)