4.2. Interesting Applications

Try these first

1. 1.

   Define Longest Common Subsequence.

   Hint

   Think about how sequences can match but still differ.

2. 2.

   What does dynamic programming help achieve in LCS computation?

   Hint

   Remember the method of breaking down problems.

3. 3.

   What is the primary function of the Longest Common Subsequence (LCS)?

   • Finding the shortest subsequence
   • Identifying the longest ordered matching subsequence
   • Sorting characters in order

   Hint

   Consider the goal of matching instead of sorting.

4. 4.

   True or False: In LCS, the order of characters does not matter.

   • True
   • False

   Hint

   Think about how subsequences are defined.

5. 5.

   You have two words, 'ABCDGH' and 'AEDFHR'. Calculate the LCS and explain your reasoning.

   Hint

   Look for the longest matching order.

6. 6.

   Describe how you would implement LCS using dynamic programming and address any challenges you might face.

   Hint

   Focus on how to manage the boundaries and tracking of indices.