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 PyPy3 (2.4.0) (judge verdict: Wrong Answer)

n = int(input())

ans = 0

BA = 0
XA = 0
BX = 0

for i in range(n):
    s = input()
    if 'AB' in s:
        ans += 1

    if s[0] == 'B' and s[-1] == 'A':
        BA += 1
    elif s[-1] == 'A':
        XA += 1
    elif s[0] == 'B':
        BX += 1

if BA > 0:
    ans += BA-1
    BA = 1
    if BX > 0:
        ans += 1
        BA = 0
    else:
        BX = 1
        BA = 0

ans += min(XA, BX)

print(ans)