#!/usr/bin/env python3

import networkx as nx

G = nx.Graph()

with open("input.txt", "r") as f:
    for line in f:
        pieces = line.strip().split(": ")
        start = pieces[0]
        for end in pieces[1].split(" "):
            G.add_edge(start, end)

cut_edges = nx.minimum_edge_cut(G)
G.remove_edges_from(cut_edges)

part1 = 1
for subgraph in (G.subgraph(c) for c in nx.connected_components(G)):
    part1 *= subgraph.number_of_nodes()

print(part1)