Bit Manipulation - Single Number II (Three Copies)
What is the space complexity of the bit counting with modulo 3 approach for Single Number II, considering 32-bit integers and input size n?
What is the space complexity of the bit counting with modulo 3 approach for Single Number II, considering 32-bit integers and input size n?
medium🪤 Complexity Trap Q6 of Q15
Step-by-Step Solution
Solution:
Step 1: Analyze auxiliary data structures
The bit counting approach uses fixed 32 counters (one per bit), independent of n.Step 2: Determine space complexity
Since 32 is constant, space complexity is O(1), not dependent on input size.Final Answer:
Option B -> Option BQuick Check:
Fixed bit counters imply constant space [OK]
Quick Trick: Bit counting uses fixed 32 counters regardless of n [OK]
Common Mistakes:
MISTAKES- Assuming space grows with input size
- Counting recursion stack space incorrectly
Trap Explanation:
PITFALL- Candidates confuse input size n with fixed bit-width counters, inflating space complexity.
Interviewer Note:
CONTEXT- Checks understanding of space usage in bit counting approach.
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