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You need to determine if a given integer is a power of two. Which algorithmic pattern best fits this problem?

easy🔍 Pattern Recognition Q1 of Q15
Bit Manipulation - Power of Two
You need to determine if a given integer is a power of two. Which algorithmic pattern best fits this problem?
ABit manipulation using n & (n - 1)
BSliding window technique
CDynamic Programming with memoization
DDepth-first search on a graph
Step-by-Step Solution
Solution:
  1. Step 1: Understand the problem requirement

    The problem asks to check if a number is a power of two, which is a classic bit manipulation problem.
  2. Step 2: Identify the pattern

    The pattern that efficiently solves this is using the property that powers of two have exactly one set bit, and n & (n - 1) clears the lowest set bit.
  3. Final Answer:

    Option A -> Option A
  4. Quick Check:

    Bit manipulation is optimal for power-of-two checks [OK]
Quick Trick: Use n & (n - 1) to check power of two [OK]
Common Mistakes:
MISTAKES
  • Confusing with DP or graph algorithms
  • Using loops unnecessarily
Trap Explanation:
PITFALL
  • Candidates often pick DP or graph patterns because they are common, but bit manipulation is optimal here.
Interviewer Note:
CONTEXT
  • Tests candidate's ability to recognize bit manipulation patterns quickly.
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