from collections import defaultdict
from lib import get_data

data = get_data(__file__)

algs_to_ings = defaultdict(set)
ings_counts = defaultdict(int)

for line in data.splitlines():
    a, b = line.split(" (contains ")
    ings = a.split(" ")
    algs = b[:-1].split(", ")
    for ing in ings:
        ings_counts[ing] += 1

    for a in algs:
        if a not in algs_to_ings:
            algs_to_ings[a] = set(ings)
        else:
            algs_to_ings[a] &= set(ings)


for ings in algs_to_ings.values():
    for ing in ings:
        if ing in ings_counts:
            del ings_counts[ing]
t = sum(ings_counts.values())
print(t)


algs_to_ings = {a: list(ing) for a, ing in algs_to_ings.items()}

handled = set()
while True:
    to_remove = None
    for alg, ings in algs_to_ings.items():
        if len(ings) == 1 and ings[0] not in handled:
            to_remove = ings[0]
            break
    else:
        break
    assert to_remove is not None
    handled.add(to_remove)
    for ings in algs_to_ings.values():
        if len(ings) > 1 and to_remove in ings:
            ings.remove(to_remove)

xs = sorted([(a, i[0]) for a, i in algs_to_ings.items()])
xs = ",".join([x[1] for x in xs])
print(xs)