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())
S=[input() for i in range(N)]
BXA=0;XA=0;BX=0;ans=0;
for s in S:
  ans+=s.count("AB")
  if(s[0]=='B' and s[-1]=='A'):
    BXA+=1
  elif(s[0]=='B'):
    BX+=1
  elif(s[-1]=='A'):
    XA+=1
#print(ans,min([XA,BX]))
if min([XA,BX])>0:
  ans+=min([XA,BX])+BXA
elif max([XA,BX])>0:
  ans+=BXA
else:
  ans+=max([BXA-1,0])
print(ans)
  
    