Subsets & Combinations - Count Number of Max Bitwise-OR Subsets
What is the time complexity of enumerating all subsets using bitmasking to count the number of subsets with maximum bitwise OR in an array of size n?
What is the time complexity of enumerating all subsets using bitmasking to count the number of subsets with maximum bitwise OR in an array of size n?
medium📊 Complexity Q5 of Q15
Step-by-Step Solution
Solution:
Step 1: Number of subsets
There are 2^n subsets for an array of size n.Step 2: Computing OR per subset
Each subset requires up to n operations to compute OR.Step 3: Total complexity
Total time is O(n * 2^n).Final Answer:
Option B -> Option BQuick Check:
Each subset enumerated with OR calculation costs n steps [OK]
Quick Trick: Enumerate 2^n subsets, each OR takes O(n) time [OK]
Common Mistakes:
MISTAKES- Assuming O(2^n) without considering OR calculation cost
- Confusing with sorting or DP complexities
- Ignoring subset enumeration cost
Trap Explanation:
PITFALL- Ignoring the OR operation cost per subset leads to underestimating complexity.
Interviewer Note:
CONTEXT- Tests understanding of time complexity in subset enumeration with bitwise operations.
Master "Count Number of Max Bitwise-OR Subsets" in Subsets & Combinations
Want More Practice?
15+ quiz questions · All difficulty levels · Free
Free Signup - Practice All QuestionsMore Subsets & Combinations Quizzes