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