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())
co = {0:0,1:0,2:0,3:0}
ans = 0
foo =0
for _ in range(N):
    i = input()
    foo = 0
    if i[0] =="B":
        foo += 1
    if i[-1] =="A":
        foo += 2
    co[foo] += 1
    ans += i.count("AB")
ans +=  min(co[1],co[2])
ans += co[3]
if co[1]==0 and co[2] == 0 and co[3]!= 0:
    ans -= 1
print(ans)