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Elon Musk discovered the existence of life on Mars in one of his SpaceX expedition. There are three kinds of life form on Mars: ATHOS - 2 ms after an ATHOS appears, it grows and becomes a PORTHOS (i.e. it disappears and a PORTHOS appears) PORTHOS - 8 ms after a PORTHOS appears, it grows and becomes an ARAMIS ARAMIS - 16 ms after an ARAMIS appears it grows up, splits into two ATHOS and disappears Can you help Elon Musk finding the population of each type on Mars immediately before the time N ms if only 1 ATHOS appeared at time 0 ms?