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def conflict(state,nextX): nextY=len(state) for i in range(nextY): if abs(state[i]-nextX) in (0,nextY-i): return True return False def queues(num=8,state=()): for pos in range(num): if not conflict(state,pos): if len(state)==num-1: yield (pos,) else: for result in queues(num,state+(pos,)): yield (pos,)+result def preatprint(solution): def lines(pos,length=len(solution)): return '. '*(pos)+'x '+'. '*(length-pos-1) for pos in solution: print lines(pos) if __name__=='__main__': import random preatprint(random.choice(list(queues(8))))