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 (3.8.2) (judge verdict: Accepted)

N = int(input())
c1 = 0
c2 = 0
c3 = 0
ans = 0
for _ in range(N):
    s = input()
    for i in range(len(s) - 1):
        if s[i:i + 2] == 'AB':
            ans += 1
    if s[0] == 'B' and s[-1] == 'A':
        c3 += 1
    elif s[0] == 'B':
        c2 += 1
    elif s[-1] == 'A':
        c1 += 1


if c3 == 0:
    ans += min(c1, c2)
elif c1 == c2 == 0:
    ans += c3 - 1
elif c1 == 0 or c2 == 0:
    ans += c3
else:
    ans += min(c1 - 1, c2 - 1) + c3 + 1
print(ans)