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What is the space complexity of implementing a thread-safe Singleton using double-checked locking with a volatile instance variable in Java?

medium🪤 Complexity Trap Q6 of Q15
OOP & Design Patterns - Singleton Pattern - Thread Safety, Double-Checked Locking & Lazy Init
What is the space complexity of implementing a thread-safe Singleton using double-checked locking with a volatile instance variable in Java?
AO(n) due to thread-local storage
BO(1) constant space for single instance and lock
CO(log n) due to volatile variable metadata
DO(n) due to synchronization overhead
Step-by-Step Solution
Solution:
  1. Step 1: Identify space used by Singleton instance and lock

    Singleton instance and lock are constant space O(1).
  2. Step 2: Consider volatile keyword overhead

    Volatile adds metadata and memory fencing, which is negligible but not zero; however, no extra space proportional to n.
  3. Final Answer:

    Option B -> Option B
  4. Quick Check:

    Space is constant, volatile adds minor overhead, often considered O(1) [OK]
Quick Trick: Singleton uses constant space; volatile adds negligible overhead [OK]
Common Mistakes:
MISTAKES
  • Assuming synchronization or threads increase space linearly
Trap Explanation:
PITFALL
  • Candidates confuse synchronization overhead with space complexity, which is constant.
Interviewer Note:
CONTEXT
  • Tests understanding of space complexity including volatile and synchronization
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