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())
xa, bx, bxa = 0, 0, 0
ans = 0
for _ in range(n):
	s = input()
	for i in range(len(s)-1):
		if s[i] == "A" and s[i+1] == "B":
			ans += 1
	if s[0] == "B":
		if s[-1] == "A":
			bxa += 1
		else:
			bx += 1
	elif s[-1] == "A":
		xa += 1

if xa == bx:
	if xa == 0:
		print(ans+max(0, bxa-1))
	else:
		print(ans+xa+bxa)
else:
	print(ans+bxa+min(xa, bx))