Problem:
Score : 400 points

Problem Statement

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.

Sample Input 1

3
ABCA
XBAZ
BAD

Sample Output 1

2

For example, if we concatenate ABCA, BAD and XBAZ in this order, the resulting string ABCABADXBAZ has two occurrences of AB.

Sample Input 2

9
BEWPVCRWH
ZZNQYIJX
BAVREA
PA
HJMYITEOX
BCJHMRMNK
BP
QVFABZ
PRGKSPUNA

Sample Output 2

4

Sample Input 3

7
RABYBBE
JOZ
BMHQUVA
BPA
ISU
MCMABAOBHZ
SZMEHMA

Sample Output 3

4

Solution in Ruby (2.3.3) (judge verdict: Wrong Answer)

n = gets.to_i

inps = []
res = 0
a_end = 0
b_begin = 0

def howmany_ab(s)
    before = ""
    res = 0
    s.chars do |c|
        res += 1 if before == 'A' && c == 'B'
        before = c
    end
    return res
end


n.times do
    inp =  gets.chomp
    res += howmany_ab(inp)
    a_end += 1 if inp[-1] == 'A'
    b_begin += 1 if inp[0] == 'B'
end


res += [a_end, b_begin].min

res -= 1 if a_end == b_begin && a_end > 0

puts res