Give an O(n^2)-time algorithm to nd the longest monotonically increasing subsequence of a sequence of n numbers. Illustrate your algorithm on the sequence:8, 3, 7, 5, 9, 3, 4, 1, 9, 2, 6.

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A: Соunting  sоrt  is  а  sоrting  teсhnique  bаsed  оn  keys  between  а  sрeсifiс  rаnge.  It  wоrks…

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A: Solution:   Given,

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A: Below I have provided the detail answer.

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A:

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A:

Q: t: 4 Output: 5 Explaination: 4=4 4=3+1

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Q: Prove that Big Oh is n^2 which is denoted by f(n) = O(n^2);

A: The answer is

Longest Common Subsequence

The Longest Common Subsequence (LCS) is defined as the longest subsequence that is shared by all of the given sequences, assuming that the subsequence's elements do not have to be in consecutive locations in the original sequences. It is used in the areas like bioinformatic, revision control systems like SVN and Git.