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())
ab,xa,bx,bxa = 0,0,0,0
for i in range(n):
  s = input()
  if s[-1] == 'A' and s[0] == 'B':
    bxa += 1
  if s[-1] == 'A':
    xa += 1
  if s[0] == 'B':
    bx += 1
  for j in range(len(s)-1):
    if s[j]+s[j+1] == 'AB':
      ab += 1
if bxa == xa == bx:
  print(ab+bxa-bool(bxa))
else:
  print(ab+min(xa,bx))