for n in range(100000000):
	ld = [couples[int(k)] for k in quinary(n)]
	transitions = [(ld[k][0],ld[k][1],(k+1)%2) for k in range(len(ld))]
	etat = (3,3,1)
	for t in transitions:
		etat = next(etat,t)
	if etat==(0,0,0) or etat==(0,0,1):
		print([mot(t) for t in transitions])