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())

ab = 0
x = 0
y = 0
z = 0

for _ in range(N):
    s = input()
    ab += s.count("AB")
    if (s[-1] == "A" and s[0] == "B"):
        z += 1
    elif (s[-1] == "A"):
        x += 1
    elif (s[0] == "B"):
        y += 1

if (not x and not y) and z:
    print(ab + z-1)
else:
    print(ab + min(x+z, y+z))