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: Accepted)

n = $stdin.gets.to_i
ary = []
result = 0
a = 0
b = 0
docchimo = 0
lk=false
n.times do |i|
  s = $stdin.gets
  ary[i] = s
  if s[0] == 'B'
    b += 1
  end
  if s[-2] == 'A'
    a += 1
  end
  if s[0] == 'B' && s[-2] == 'A'
    docchimo += 1
  end

  if s[0] != 'B' && s[-2] == 'A'
    lk=true
  end

  result += ary[i].scan("AB").size
end


if docchimo > 0 && a==b && docchimo == a
  result -=1
end
puts result + [a,b].min