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,*s=open(0)
a=b=c=d=0
for t in s:
    if t[-2]=='A'and t[0]=='B':
        d+=1
    elif t[-2]=='A':
        a+=1
    elif t[0]=='B':
        b+=1
    c+=t.count('AB')
if all(i==0for i in(a,b)):
    print(c+max(0,d-1))
    exit()
elif a==b:
    print(a+c+d)
    exit()
ans=min(a,b)+c
dif=abs(a-b)
ans+=min(dif,d)
d-=min(dif,d)
print(ans+d)