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
flagA=[]
flagB=[]
fla=0
flb=0
for x in range(n):
    s = input()
    if 'AB' in s:
        ans += s.count('AB')
    if s[-1]=='A':
        flagA.append(x)
        fla+=1
    if s[0]=='B':
        flagB.append(x)
        flb+=1
if flagA==flagB and len(flagA)!=0:
    ans-=1
ans+=min(fla,flb)
print(ans)
