Question

Match LIST-I with LIST-II \[\begin{array}{|c|c|}\hline \text{LIST-I (Evaluate an algorithm's performance)} & \text{LIST-II (Meaning)} \\ \hline \text{A. Completeness} & \text{III. Is the algorithm guaranteed to find a solution when there is one, and to correctly report failure when there is none?} \\ \hline \text{B. Cost optimality} & \text{IV. Does it find a solution with the lowest path cost of all solutions?} \\ \hline \text{C. Time complexity} & \text{I. How long does it take to find a solution? This can be measured in seconds, or more abstractly by the number of states and actions considered.} \\ \hline \text{D. Space complexity} & \text{II. How much memory is needed to perform the operation?} \\ \hline \end{array}\] Choose the correct answer from the options given below:

• 1. A - III, B - IV, C - I, D - II
• 2. A - I, B - III, C - I, D - IV
• 3. A - I, B - II, C - IV, D - III
• 4. A - II, B - IV, C - III, D - I

Hint:

Time complexity, space complexity, and cost optimality are important considerations in evaluating an algorithm's efficiency.

Answer 1

The Correct Option is A

- **A - Completeness:** Completeness refers to whether the algorithm guarantees a solution when one exists and properly reports failure when no solution is found. This matches with **III**. - **B - Cost optimality:** Cost optimality refers to the ability of the algorithm to find the solution with the lowest path cost. This matches with **IV**. - **C - Time complexity:** Time complexity measures how long it takes to find a solution, often represented in terms of the number of states and actions considered. This matches with **I**. - **D - Space complexity:** Space complexity refers to how much memory is required to perform the operation. This matches with **II**. Step 2: Conclusion. The correct match is **A - III, B - IV, C - I, D - II**.