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())
s = [input() for _ in range(n)]
a = 0
b = 0
ab = 0
a_b = 0
for i in s:
    if i[0] == 'B' and i[-1] == 'A':
        a_b += 1
    if i[0] == 'B':
        b += 1
    if i[-1] == 'A':
        a += 1
    for j in range(len(i)-1):
        if i[j:j+2] == 'AB':
            ab += 1
if a_b == a == b != 0:
    b -= 1
print(ab+min(a, b))