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())
c=0
d=0
a=0
k=0
for i in range(n):
    s=input()
    if "AB" in s:
        c+=s.count("AB")
    if s[0]=="B" and s[len(s)-1]=="A":
        d+=1
    if s[0]=="B" and s[len(s)-1]!="A":
        a+=1
    if s[len(s)-1]=="A" and s[0]!="B":
        k+=1
if a+k==0:
    print(max(c+d-1,c))
elif a+k>0:
    print(c+min(d+a,d+k))
else:
    print(c+min(a,k))