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Consider two approaches to find the single number: (1) Sorting + linear scan, and (2) XOR-based approach. When is the sorting approach preferable over XOR?

hard⚖️ Approach Comparison Q8 of Q15
Bit Manipulation - Single Number (XOR Self-Cancellation)
Consider two approaches to find the single number: (1) Sorting + linear scan, and (2) XOR-based approach. When is the sorting approach preferable over XOR?
AWhen input size is very large and memory is limited
BWhen elements are not integers and XOR is not applicable
CWhen the array is already sorted or nearly sorted
DWhen constant space is required
Step-by-Step Solution
Solution:
  1. Step 1: Consider data type constraints

    XOR operations require integer types; non-integer elements cannot use XOR.
  2. Step 2: Sorting applicability

    Sorting works on any comparable data type, including non-integers.
  3. Final Answer:

    Option B -> Option B
  4. Quick Check:

    Sorting preferred when XOR is not applicable due to data types [OK]
Quick Trick: Use sorting when XOR can't be applied to data types [OK]
Common Mistakes:
MISTAKES
  • Confusing space/time trade-offs
  • Assuming XOR always better
Trap Explanation:
PITFALL
  • Candidates confuse space/time trade-offs, thinking sorting is always better.
Interviewer Note:
CONTEXT
  • Tests trade-off reasoning between approaches and data type constraints.
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