Choose all of the following that is a strictly decreasing derived variable on the states of the state machine whose states are triples of non-negative integers (r, s, a). The initial state is (x, y, 0). The transitions are given by the rule 8 that for s > 0: (3r, s/3, a) (3r, (s — 1)/3, а+r) (3r, (s — 2)/3, а + 2r) other if 3 | if 3 | d(r, s, a) = O r is strictly decreasing. s is strictly decreasing. O a is strictly decreasing. None of the provided values are strictly decreasing.
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