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())
a_num=0
b_num=0
set_num=0
ans=0
for i in range(n):
    s=list(input())
    for j in range(len(s)-1):
        if s[j]+s[j+1]=="AB":
            ans+=1
    if s[0]=="B" and s[-1]=="A":
        set_num+=1
    elif s[0]=="B":
        b_num+=1
    elif s[-1]=="A":
        a_num+=1
if set_num==0:
    print(ans+min(a_num,b_num))
else:
    ans+=set_num-1
    if 0<a_num:
        a_num+=1
    if 0<b_num:
        b_num+=1
    print(ans+min(a_num,b_num))