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Design and Analysis of Algorithms MCQs with Answers

Practice important Design and Analysis of Algorithms MCQs with answers and explanations.

Multiple Choice Questions

Q141: What is the base case for converting an empty string to a string of j characters in edit distance?
  • A: E(0, j) = j
  • B: E(j, 0) = j
  • C: E(i, 0) = i
  • D: E(i, j) = 0
View Answer
A

Q142: Which of the following is an example of an application of edit distance?
  • A: Spelling correction
  • B: Sorting algorithms
  • C: Binary search
  • D: Tree traversal
View Answer
A

Q143: What mathematical concept is used to describe the relationship between characters in the edit distance?
  • A: Optimal substructure
  • B: Recursion
  • C: Iteration
  • D: None of the above
View Answer
A

Q144: What is the complexity of the original recursive Fibonacci algorithm?
  • A: Θ(φ^n)
  • B: Θ(n)
  • C: Θ(log n)
  • D: Θ(n^2)
View Answer
A

Q145: Dynamic programming avoids ______.
  • A: Recursion
  • B: Repetition
  • C: Iteration
  • D: All of the above
View Answer
B

Q146: What are the two steps in developing a dynamic programming algorithm?
  • A: Formulate problem recursively and build solution from bottom up
  • B: Formulate problem iteratively and build solution from top down
  • C: Build a tree and evaluate the leaves
  • D: None of the above
View Answer
A

Q147: What is the purpose of the dynamic programming approach in recursion?
  • A: To simplify complex problems
  • B: To create infinite loops
  • C: To reduce memory usage
  • D: To increase code complexity
View Answer
A

Q148: In the DP approach, how is the solution typically built?
  • A: Bottom-up
  • B: Top-down
  • C: Sideways
  • D: Inside-out
View Answer
A

Q149: Which of the following describes how the E matrix is filled?
  • A: Row by row
  • B: Column by column
  • C: Diagonal only
  • D: Randomly
View Answer
A

Q150: What does the edit distance algorithm primarily calculate?
  • A: The minimum number of operations needed to transform one string into another
  • B: The longest common substring
  • C: The maximum length of a string
  • D: None of the above
View Answer
A

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