OOP & Design Patterns - Factory vs Abstract Factory vs Builder - When to Use Each
What is the space complexity of the Builder pattern when constructing an object with k parts, considering auxiliary data structures and recursion stack?
What is the space complexity of the Builder pattern when constructing an object with k parts, considering auxiliary data structures and recursion stack?
medium🪤 Complexity Trap Q6 of Q15
Step-by-Step Solution
Solution:
Step 1: Identify auxiliary space usage
Builder stores parts linearly -> O(k) space for parts list.Step 2: Consider recursion stack if used
If Builder uses recursion for construction, call stack depth is O(k) in worst case, or O(log k) if balanced.Step 3: Combine space usage
Overall space complexity is dominated by parts storage O(k), recursion stack is at most O(k).Final Answer:
Option C → Option CQuick Check:
Linear space needed for parts storage dominates. [OK]
Quick Trick: Parts storage requires O(k) space, recursion stack ≤ O(k) [OK]
Common Mistakes:
MISTAKES- Ignoring parts storage space
- Assuming recursion stack dominates
Trap Explanation:
PITFALL- Candidates often overlook linear space for parts, picking logarithmic incorrectly.
Interviewer Note:
CONTEXT- Tests awareness of auxiliary and recursion stack space in Builder.
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