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())
ABc = 0
Ac = 0
Bc = 0
j = 0
for i in range(N):
	s = input()
	ABc += s.count("AB")
	if s[0] == "B":
		Bc += 1
	if s[-1] == "A":
		Ac += 1
	if s[0] == "B" and s[-1] == "A":
		j += 1

if Ac == Bc and Bc == j:
	if j == 0:
		print(ABc)
	else:
		print(ABc + Ac - 1)
else:
	print(ABc + min(Ac, Bc))