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
ans = 0
first_b = 0
last_a = 0
same = 0

N = int(input())

for i in range(N):
    s = input()
    ans += s.count("AB")
    if s[0] == "B":
        first_b += 1
    if s[-1] == "A":
        last_a += 1
    if s[0] == "B" and s[-1] == "A":
        same +=1

ans += min(first_b, last_a)
if same > 0 and first_b ==  last_a and first_b == same:
    ans -=1
print(ans)