from lib import get_data
from lib import Grid2D

data = get_data(__file__)

locks = []
keys = []

for o in data.split("\n\n"):
    g = Grid2D(o)
    if all(g[(0, c)] == "#" for c in range(g.n_cols)):
        keys.append(g)
    elif all(g[g.n_rows - 1, c] == "#" for c in range(g.n_cols)):
        locks.append(g)
    else:
        assert False

t = 0
for key in keys:
    for lock in locks:
        k = key.find("#")
        l = lock.find("#")
        if len(k) + len(l) == len(set(k) | set(l)):
            t += 1
print(t)