4.3. Inductive Structure

Try these first

1. 1.

   What is the Longest Common Subsequence (LCS)?

   Hint

   It's related to finding similarities in sequences.

2. 2.

   What technique is often used to optimize LCS calculation?

   Hint

   Think about breaking down problems into smaller ones.

3. 3.

   What is the primary goal of the LCS algorithm?

   • To find the longest substring
   • To find the longest common subsequence
   • To sort two sequences

   Hint

   Focus on what LCS stands for.

4. 4.

   True or False: In the LCS problem, we can drop characters.

   • True
   • False

   Hint

   Consider what makes the subsequence common.

5. 5.

   Given the sequences A: 'ABCDEF' and B: 'AEBDF', calculate the longest common subsequence and explain your approach.

   Hint

   Start from the first characters and build upon matches.

6. 6.

   Write a function to evaluate LCS dynamically. Analyze its time complexity.

   Hint

   Think about the double-loop structure you'll need to fill the entire table.