import itertools
def all_relations(n):
for I in itertools.product((0,1),repeat=n**2):
yield {(i//n, i%n) for i, b in enumerate(I) if b}
def is_symmetric(rel):
return all((k[1], k[0]) in rel for k in rel)
print(len(list(filter(is_symmetric, all_relations(3)))))
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