Which dynamic programming problem involves finding the longest subsequence in a
Practice Questions
Q1
Which dynamic programming problem involves finding the longest subsequence in a sequence?
Longest Common Subsequence
Longest Increasing Subsequence
Edit Distance
Knapsack Problem
Questions & Step-by-Step Solutions
Which dynamic programming problem involves finding the longest subsequence in a sequence?
Step 1: Understand what a subsequence is. A subsequence is a sequence that can be derived from another sequence by deleting some elements without changing the order of the remaining elements.
Step 2: Learn about the Longest Increasing Subsequence (LIS) problem. This problem asks for the longest subsequence where each element is greater than the one before it.
Step 3: Recognize that the goal is to find the maximum length of such a subsequence in a given sequence of numbers.
Step 4: Realize that dynamic programming is a method used to solve this problem efficiently by breaking it down into simpler subproblems.
