The longest increasing subsequence problem is as follows: Given numbers a1, a2, ... ,aN

Chapter 10, Problem 10.54

(choose chapter or problem)

The longest increasing subsequence problem is as follows: Given numbers a1, a2, ... ,aN, find the maximum value of k such that ai1 < ai2 < < aik , and i1 < i2 < < ik. As an example, if the input is 3, 1, 4, 1, 5, 9, 2, 6, 5, the maximumincreasing subsequence has length four (1, 4, 5, 9 among others). Give an O(N2)algorithm to solve the longest increasing subsequence problem.

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