#!/usr/bin/env python3
W=[(0,0,1,2,2,1),(0,1,0,2,1,2),(1,0,2,0,2,1),(2,2,1,0,0,1)]
U=set()
for w in W:
 n=len(w)
 for mask in range(1,1<<n):
  U.add(tuple(w[i] for i in range(n) if mask>>i