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.

Examples

Input

3
ABCA
XBAZ
BAD


Output

2


Input

9
BEWPVCRWH
ZZNQYIJX
BAVREA
PA
HJMYITEOX
BCJHMRMNK
BP
QVFABZ
PRGKSPUNA


Output

4


Input

7
RABYBBE
JOZ
BMHQUVA
BPA
ISU
MCMABAOBHZ
SZMEHMA


Output

4
N = int(input())
A = 0
B = 0
AB = 0
BtoA = 0
for i in range(N):
    s = input()
    AB += s.count('AB')
    if s[-1] == 'A':
        A += 1
    if s[0] == 'B':
        B += 1
    if s[0] == 'B' and s[-1] == 'A':
        BtoA += 1
if A == B == BtoA:
    A -= 1
answer = AB + max(0, min(N-1, min(A, B)))
print(answer)