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
x = 0
ans = 0
for i in range(n):
  s = input()
  ans += s.count("AB")
  a += s[-1] == "A"
  b += s[0] == "B"
  x += (s[-1] == "A") and (s[0] == "B")
if a == x == b != 0:
  ans += x-1
else:
  ans += min(n-1,a,b)
print(ans)
