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())
s = []
ans = 0
a,b,c = 0,0,0
for i in range(n):
    S = input()
    ans += S.count("AB")
    if S[0] == "B" and S[len(S)-1] == "A":
        a += 1
    elif S[0] == "B":
        b += 1
    elif S[len(S)-1] == "A":
        c += 1
    s.append(S)

if a >= 0:
    if b >= 1 and c >= 1:
        ans += a-1+2+min(b-1,c-1)
    elif b >= 1 or c >= 1:
        ans += a
    else:
        ans += a-1
else:
    if b >= 1 and c >= 1:
        ans += min(b,c)
print(ans)