[Solved] Consider two approaches to find the missing number: (1) sum-based approach using arithmetic formula, and (2) XOR-based bit... When is the XOR approach preferable over the sum-based approach? | Bit Manipulation

Bit Manipulation - Find the Missing Number

Consider two approaches to find the missing number: (1) sum-based approach using arithmetic formula, and (2) XOR-based bit manipulation. When is the XOR approach preferable over the sum-based approach?

AWhen input array contains duplicates

BWhen integer overflow is a concern with large n

CWhen the missing number is always zero

DWhen sorting is required before processing

Step-by-Step Solution

Solution:

Step 1: Analyze sum approach limitations
Sum approach risks integer overflow for large n, but XOR does not.
Step 2: When XOR is preferable
XOR avoids overflow issues and works efficiently without sorting.
Final Answer:
Option B -> Option B
Quick Check:
XOR avoids overflow, sum approach can fail for large n [OK]

Quick Trick: XOR avoids overflow, sum approach simpler if sorting needed [OK]

Common Mistakes:

MISTAKES

Assuming XOR handles duplicates
Ignoring overflow in sum approach

Trap Explanation:

PITFALL

Candidates confuse when sorting is needed; XOR is best when no sorting required.

Interviewer Note:

CONTEXT

Tests candidate's ability to compare trade-offs between approaches.

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More Bit Manipulation Quizzes

When is the XOR approach preferable over the sum-based approach?

Step 1: Analyze sum approach limitations

Step 2: When XOR is preferable

Final Answer:

Quick Check:

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