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())

b = 0
a = 0
ab = 0
ex = 0

for i in range(n) :
    tmp = input()
    ab += tmp.count('AB')
    if tmp[0] == 'B' :
        b += 1
    if tmp[-1] == 'A' :
        a += 1
    if tmp[0] == 'B' and tmp[-1] == 'A' :
        ex += 1

if max(a, b) > ex or ex == 0 :
    print(ab + min(a, b))
else :
    print(ab + min(a, b) - 1)