Bit Manipulation - Number of 1 Bits (Hamming Weight)
You need to count the number of bits set to 1 in an unsigned 32-bit integer efficiently. Which algorithmic pattern best fits this problem?
You need to count the number of bits set to 1 in an unsigned 32-bit integer efficiently. Which algorithmic pattern best fits this problem?
easy🔍 Pattern Recognition Q1 of Q15
Step-by-Step Solution
Solution:
Step 1: Understand the problem requirements
The problem requires counting set bits efficiently, which is a classic bit manipulation task.Step 2: Identify the efficient pattern
Repeatedly clearing the least significant set bit (using n & (n-1)) is a known efficient pattern for counting set bits.Final Answer:
Option C -> Option CQuick Check:
Bit manipulation with n & (n-1) is the standard approach [OK]
Quick Trick: Use n & (n-1) to count set bits efficiently [OK]
Common Mistakes:
MISTAKES- Confusing bit counting with sorting or DP
- Using sliding window incorrectly
Trap Explanation:
PITFALL- Candidates often confuse bit counting with unrelated patterns like sorting or DP, which don't apply here.
Interviewer Note:
CONTEXT- Tests candidate's ability to recognize bit manipulation patterns.
Master "Number of 1 Bits (Hamming Weight)" in Bit Manipulation
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