Bit Manipulation - Counting Bits (0 to N)
Which of the following problems CANNOT be efficiently solved using the Counting Bits (0 to N) bit manipulation pattern?
Which of the following problems CANNOT be efficiently solved using the Counting Bits (0 to N) bit manipulation pattern?
easy🔍 Pattern Recognition Q2 of Q15
Step-by-Step Solution
Solution:
Step 1: Analyze each problem's relation to counting bits
Counting bits and parity are directly related; bitwise AND over a range is a different bit manipulation problem.Step 2: Identify that computing Hamming weight is same as counting bits
Computing the Hamming weight for each number from 0 to n is effectively counting bits, so it can be solved by the pattern.Step 3: Recognize bitwise AND over a range cannot be solved by counting bits pattern
Bitwise AND requires different approach (e.g., range AND properties), not counting bits.Final Answer:
Option C -> Option CQuick Check:
Bitwise AND over range is not solved by counting bits pattern [OK]
Quick Trick: Bitwise AND over range ≠ counting bits pattern [OK]
Common Mistakes:
MISTAKES- Confusing bitwise AND with counting bits
- Assuming parity and Hamming weight differ
- Thinking all bitwise ops use counting bits pattern
Trap Explanation:
PITFALL- Candidates often think all bitwise problems can be solved by counting bits, but bitwise AND over a range is a different problem.
Interviewer Note:
CONTEXT- Tests candidate's ability to distinguish when counting bits pattern applies
Master "Counting Bits (0 to N)" in Bit Manipulation
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