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
count = 0
n = int(raw_input())
endA = 0
begB = 0
both = 0
for i in xrange(n):
    word = raw_input()
    for j in xrange(len(word)-1):
        if word[j] == "A" and word[j+1] == "B":
            count += 1
    if word[0] == "B" and word[len(word)-1] == "A":
        both += 1
    elif word[0] == "B":
        begB += 1
    elif word[len(word) - 1] == "A":
        endA += 1

if endA > 0 and both > 0:
    count += 1
    endA -= 1
if begB > 0 and both > 0:
    count += 1
    begB -= 1
if both > 0:
    count += both - 1
count += min(endA, begB)
print count