from itertools import*
def f(b):
 C=count();v=[*zip(*[[k for _,b in groupby(j)for k in[next(C)]*len([*b])]for j in zip(*b)])];q,S=[(0,0,[v[0][0]])]*('#'!=b[0][0]),[];J=len(b);K=len(b[0])
 for x,y,p in q:
  if J-x==1==K-y:S+=p,;continue
  for n,m in[(x+1,y),(x,y+1)]:
   if n<J and m<K and'.'==b[n][m]:q+=(n,m,p+[v[n][m]]),
 return len({tuple({*i})for i in S})
 
s1 = """
....
....
....
"""
s2 = """
...#
....
...#
"""
s3 = """
#..#
..#.
....
"""
s4 = """
......
......
..##..
......
......
"""
s5 = """
......
...#..
......
..#...
#.....
"""
s6 = """
......
..#...
......
....#.
#.....
"""
s7 = """
.......
##.....
....###
...#...
..##.#.
#....#.
..#....
"""
s8 = """
......#.
..##....
...#....
.......#
....#...
.##...#.
....#...
##......
"""
s9 = """
.........
.#.#.#.#.
.........
#.#...#.#
.........
.#.#.#.#.
.........
"""
s10 = """
..........
.#........
..........
.....#....
#.........
........#.
......#...
..........
"""
s11 = """
.........
.#.......
.........
...#.....
.........
.....#...
.........
.......#.
.........
"""
def to_board(s):
	return [[*i]for i in filter(None, s.split('\n'))]
 
print(f(to_board(s1)))
print(f(to_board(s2)))
print(f(to_board(s3)))
print(f(to_board(s4)))
print(f(to_board(s5)))
print(f(to_board(s6)))
print(f(to_board(s7)))
print(f(to_board(s8)))
print(f(to_board(s9)))
print(f(to_board(s10)))
print(f(to_board(s11)))

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