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())
lis = [input() for _ in range(n)]
cnt = sum([l.count('AB') for l in lis])
ab_cnt = sum([l[-1] == 'A' and l[0] == 'B' for l in lis])
a_cnt = sum([l[-1] == 'A' for l in lis]) - ab_cnt
b_cnt = sum([l[0] == 'B' for l in lis]) - ab_cnt
if ab_cnt:
  cnt += ab_cnt - 1
  if a_cnt or b_cnt:
    a_cnt += 1
    b_cnt += 1
print(cnt + min(a_cnt, b_cnt))