IMO Shortlist 1983 problem 5


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2. travnja 2012.
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Consider the set of all strictly decreasing sequences of n natural numbers having the property that in each sequence no term divides any other term of the sequence. Let A = (a_j) and B = (b_j) be any two such sequences. We say that A precedes B if for some k, a_k < b_k and a_i = b_i for i < k. Find the terms of the first sequence of the set under this ordering.
Izvor: Međunarodna matematička olimpijada, shortlist 1983