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Which of the following problems CANNOT be efficiently solved using the XOR-based missing number pattern?

easy🔍 Pattern Recognition Q2 of Q15
Bit Manipulation - Find the Missing Number
Which of the following problems CANNOT be efficiently solved using the XOR-based missing number pattern?
AFind the single missing number in an array of distinct integers from 0 to n
BFind the missing number when multiple numbers are missing from 0 to n
CFind the missing number when exactly one number is missing from 0 to n
DFind the missing number in an array with distinct numbers from 0 to n
Step-by-Step Solution
Solution:
  1. Step 1: Analyze problem constraints

    XOR approach works only when exactly one number is missing and all others are distinct.
  2. Step 2: Identify limitation

    When multiple numbers are missing, XOR cannot isolate a single missing number, so it fails.
  3. Final Answer:

    Option B -> Option B
  4. Quick Check:

    Multiple missing numbers break XOR cancellation logic [OK]
Quick Trick: XOR only isolates one missing number [OK]
Common Mistakes:
MISTAKES
  • Assuming XOR works for multiple missing numbers
  • Confusing with sum-based approaches
Trap Explanation:
PITFALL
  • Candidates often think XOR can handle multiple missing numbers, but it cannot isolate more than one missing value.
Interviewer Note:
CONTEXT
  • Tests candidate's understanding of XOR approach limitations and anti-pattern recognition.
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