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
A = 0
B = 0
AB = 0
for _ in range(n):
    s = input()
    ans += s.count('AB')
    
    if s[-1] == 'A' and s[0] != 'B':
        A += 1 
    if s[0] == 'B' and s[-1] != 'A':
        B += 1
    if s[-1] == 'A' and s[0] == 'B':
        AB += 1

        
ans += min(A, B)
rest_A_B = max(A, B) - min(A, B)
ans += min(rest_A_B, AB)
rest_AB = max(rest_A_B, AB) - min(rest_A_B, AB)
ans += rest_AB // 2

print(ans)