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
#k,a,b=map(int,input().split())
n=int(input())
s=[input() for i in range(n)]
fin_a=0
ini_b=0
ab=0
for i in s:
    if i[0]=='B' and i[-1]=='A':
        ab+=1
    elif i[0]=='B':
        ini_b+=1
    elif i[-1]=='A':
        fin_a+=1

s='+'.join(s)
ans=s.count('AB')
print(ans+min(fin_a+ab,ini_b+ab) if not (fin_a==0 and ini_b==0) else ans+max(ab-1,0))
