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What is the space complexity of the Template Method Pattern implementation with abstract methods and hook methods, assuming no recursion?

medium🪤 Complexity Trap Q6 of Q15
OOP & Design Patterns - Template Method Pattern - Define Skeleton, Override Steps
What is the space complexity of the Template Method Pattern implementation with abstract methods and hook methods, assuming no recursion?
AO(n), where n is the number of subclasses
BO(n), due to auxiliary data structures in subclasses
CO(log n), because of hook method call stack
DO(1), since only fixed method calls and no recursion stack are used
Step-by-Step Solution
Solution:
  1. Step 1: Analyze method calls and stack usage

    prepare_recipe calls fixed steps without recursion, and hook methods add only constant call layers.
  2. Step 2: Consider call stack depth

    Call stack depth is constant and does not grow with input size or subclass count.
  3. Final Answer:

    Option D -> Option D
  4. Quick Check:

    No recursion and fixed calls -> O(1) space [OK]
Quick Trick: No recursion -> constant space including call stack [OK]
Common Mistakes:
MISTAKES
  • Assuming space grows with subclass count or recursion.
Trap Explanation:
PITFALL
  • Candidates confuse recursion stack with normal call stack or forget hook method calls add constant overhead.
Interviewer Note:
CONTEXT
  • Tests understanding of space complexity including call stack in design patterns.
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