How do you find the number of longest increasing subsequence?
What is the meaning of longest increasing subsequence?
In computer science, the longest increasing subsequence problem is to find a subsequence of a given sequence in which the subsequence's elements are in sorted order, lowest to highest, and in which the subsequence is as long as possible.
How do you find the longest increasing subsequence in Nlogn time?
https://www.youtube.com/watch?v=S9oUiVYEq7E
What is longest monotonically increasing subsequence?
A logest monotonically increasing subsequence (LMIS) of A is an increasing subsequence of A of maximum length. ... For each 1 ≤ i ≤ n, define m(i) to be the length of any longest monotonically increasing subsequence of a1,a2,...,ai that has ai as the last element of the subsequence.Oct 17, 2014
What is meant by longest common subsequence?
The longest common subsequence (LCS) is defined as the longest subsequence that is common to all the given sequences, provided that the elements of the subsequence are not required to occupy consecutive positions within the original sequences.
Is LCS NP-complete?
The general longest common subsequence problemlongest common subsequence problemThe longest common subsequence (LCS) problem is the problem of finding the longest subsequence common to all sequences in a set of sequences (often just two sequences). ... So (ABD) and (ACD) are their longest common subsequences.https://en.wikipedia.org › wiki › Longest_common_subsequen...Longest common subsequence problem - Wikipedia (LCS) over a binary alphabet is NP-complete.
Is LCS NP hard?
The 2D-LCS problem is N P-hard. Proof. We prove the hardness of the problem by a reduction from the Clique problem.
What is the complexity of LCS?
The general algorithms which are followed to solve the Longest Common Subsequence (LCS) problems have both time complexity and space complexity of O(m * n). To reduce this complexity, two ways are proposed in this work.
What is a longest monotone subsequence?
In computer science, the longest increasing subsequence problem is to find a subsequence of a given sequence in which the subsequence's elements are in sorted order, lowest to highest, and in which the subsequence is as long as possible. This subsequence is not necessarily contiguous, or unique.