This algorithm will not give us a O(nlogn) running time, because you are copying one of the subsequences on each step. So, it will give you O(n^2). To have O(nlogn) you should do binary search through the last elements of each subsequence and insert it respectively...

In reply to Re^2: Puzzle: Longest Increasing Sequence by Anonymous Monk
in thread Puzzle: Longest Increasing Sequence by TedPride

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