Dividing Sequences (IARCS OPC Archive, K Narayan Kumar, CMI) This problem is about sequences of positive integers a1,a2,…,aN. A subsequence of a sequence is anything obtained by dropping some of the elements. For example, 3,7,11,3 is a subsequence of 6,3,11,5,7,4,3,11,5,3 , but 3,3,7 is not a subsequence of 6,3,11,5,7,4,3,11,5,3 . A fully dividing sequence is a sequence a1,a2,…,aN where ai divides aj whenever i j. For example, 3,15,60,720 is a fully dividing sequence. Given a sequence of integer

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