[Solved] You have an array of n distinct integers ranging from 0 to n inclusive, with exactly one number... Which algorithmic pattern best fits solving this problem efficiently with O(n) time and O(1) space? | Bit Manipulation

Bit Manipulation - Find the Missing Number

You have an array of n distinct integers ranging from 0 to n inclusive, with exactly one number missing. Which algorithmic pattern best fits solving this problem efficiently with O(n) time and O(1) space?

ASliding Window to find the missing element

BBit Manipulation using XOR to find the missing number

CDynamic Programming to track missing sums

DGreedy approach to pick missing number

Step-by-Step Solution

Solution:

Step 1: Understand problem constraints
The problem requires finding one missing number from 0 to n in an array of size n, with distinct elements.
Step 2: Identify pattern
XOR operation cancels out pairs of identical numbers, leaving the missing number as the result. This matches the bit manipulation pattern.
Final Answer:
Option B -> Option B
Quick Check:
XOR approach is O(n) time and O(1) space [OK]

Quick Trick: XOR cancels pairs, revealing missing number [OK]

Common Mistakes:

MISTAKES

Confusing with sum-based approach
Trying sorting which is O(n log n)

Trap Explanation:

PITFALL

Candidates often pick sorting or DP, missing the XOR pattern's O(1) space advantage.

Interviewer Note:

CONTEXT

Tests candidate's ability to recognize bit manipulation pattern from problem description.

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More Bit Manipulation Quizzes

Which algorithmic pattern best fits solving this problem efficiently with O(n) time and O(1) space?

Step 1: Understand problem constraints

Step 2: Identify pattern

Final Answer:

Quick Check:

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