We investigate the computing power and the efficiency of P systems with active membranes without polarizations, working in the minimally parallel mode. Such systems are shown to be computationally complete even when using only rules handling single objects in the membranes and avoiding the division of non-elementary membranes. Moreover, we elaborate an algorithm for solving NP-complete problems, yet in this case we need evolution rules generating at least two objects as well as rules for non-elementary membrane division.
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