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Elementary,Middle School,High School,College,University,PHD
| Teaching Since: | May 2017 |
| Last Sign in: | 407 Weeks Ago, 6 Days Ago |
| Questions Answered: | 66690 |
| Tutorials Posted: | 66688 |
MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
Suppose you are given an array of n integers a1, a2, …, an. You need to find out the length of its longest sub-array (not necessarily contiguous) such that all elements in the sub-array are sorted in non-decreasing order. For example, the length of longest sub-array for { 5, 10, 9, 13, 12, 25, 19, 70, 80 } is 6 and one such sub-array is {5, 10, 13, 19, 70, 80}. Note you may have multiple solutions for this case. Use dynamic programming to solve this problem. Your solution need to show: 1) the optimal substructure; 2) the pseudo code of your solution and its complexity; and 3) a few examples how your approach works. In cases where there are multiple longest sub-arrays, you just need to show one of them.
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