from itertools import permutations
 
N = 6
 
def cycle(p, i):
    cycled = [(x - p[i]) % (len(p) + 1) for x in p] + [(-p[i]) % len(p) + 1]
    return tuple(cycled[i+1:] + cycled[:i])
 
def reversify(p):
    return tuple(reversed(p))
 
def find_symmetries(n):
    symmetries = set()
    for p in permutations(range(1,n)):
        pile = {p, reversify(p)}
        for i in range(len(p)):
            pile.add(cycle(p, i))
            pile.add(cycle(reversify(p),i))
        symmetries.add(min(pile))
    return symmetries
 
for symmetry in find_symmetries(N):
	print ((0,) + symmetry)
 

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