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
import sys,random
try: sys.stdin = open('in.in','r')
except: pass

ans = 0
allboth = 1
l = r = 0

n = int(input())
for i in range(n):
	s = input().strip()
	ans += s.count('AB')
	if s[0] == 'B' or s[-1] == 'A':
		l += s[0] == 'B'
		r += s[-1] == 'A'
		if s[0] != 'B' or s[-1] != 'A':
			allboth = 0

ans += min(l,r)
if allboth and l:
	ans -= 1
print(ans)
