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Given the following Python function to count subsets with maximum bitwise OR, what is the output when the input array is [1, 2, 3]?

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Subsets & Combinations - Count Number of Max Bitwise-OR Subsets
Given the following Python function to count subsets with maximum bitwise OR, what is the output when the input array is [1, 2, 3]? ```python class Solution: def countMaxOrSubsets(self, nums): max_or = 0 count = 0 def backtrack(i, current_or): nonlocal max_or, count if i == len(nums): if current_or == max_or: count += 1 elif current_or > max_or: max_or = current_or count = 1 return backtrack(i + 1, current_or | nums[i]) backtrack(i + 1, current_or) backtrack(0, 0) return count ```
A4
B3
C5
D6
Step-by-Step Solution
Solution:
  1. Step 1: Identify max OR

    Max OR of subsets from [1,2,3] is 3 (1|2|3 = 3).
  2. Step 2: Count subsets with OR = 3

    Subsets with OR=3 are: [3], [1,2], [1,3], [2,3]. Total 4 subsets.
  3. Final Answer:

    Option A -> Option A
  4. Quick Check:

    Check subsets OR values and count those equal to max OR [OK]
Quick Trick: Count subsets whose OR equals 3 for input [1,2,3] [OK]
Common Mistakes:
MISTAKES
  • Counting subsets with OR less than max OR
  • Forgetting empty subset is not counted
  • Miscounting subsets with OR exactly equal to max OR
Trap Explanation:
PITFALL
  • Miscounting subsets or including subsets with OR less than max OR.
Interviewer Note:
CONTEXT
  • Tests ability to trace recursive subset enumeration and OR calculation.
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