4.5. Filling the LCS Table

Try these first

1. 1.

   What does LCS stand for?

   Hint

   Think about what the sequence represents.

2. 2.

   In the phrase 'ABCD' and 'AECDF', what common letters can be found?

   Hint

   Identify letters that appear in both strings.

3. 3.

   What is the time complexity of the LCS algorithm?

   • O(m+n)
   • O(m*n)
   • O(m^2)

   Hint

   Remember how the size of the table relates to the input lengths.

4. 4.

   True or False: Dynamic programming is not necessary for finding LCS.

   • True
   • False

   Hint

   Consider how repetitive calculations can impact efficiency.

5. 5.

   Calculate the LCS for the sequences 'ABCDEF' and 'AEBDF', and describe the steps taken.

   Hint

   Map out the matches on a table step by step.

6. 6.

   Provide a real-world example where LCS can optimize data processing, detailing how it applies.

   Hint

   Consider contexts where data comparison is crucial.