Subsets & Combinations - Largest Divisible Subset
Given the input array [1, 2, 4, 8], what is the output of the optimized DP solution for the Largest Divisible Subset problem?
Given the input array [1, 2, 4, 8], what is the output of the optimized DP solution for the Largest Divisible Subset problem?
easy🧾 Code Trace Q3 of Q15
Step-by-Step Solution
Solution:
Step 1: Trace dp and prev arrays
Sorted nums = [1,2,4,8]. Each number divides the next, so dp builds up to 4 at index 3.Step 2: Reconstruct subset from max_index
Backtracking prev from index 3 yields [8,4,2,1], reversed to [1,2,4,8].Final Answer:
Option A -> Option AQuick Check:
Full chain divisible subset returned in ascending order [OK]
Quick Trick: Sorted chain reconstructs largest divisible subset [OK]
Common Mistakes:
MISTAKES- Returning reversed subset without reversing
- Missing early break
Trap Explanation:
PITFALL- Candidates often forget to reverse the reconstructed subset or confuse order.
Interviewer Note:
CONTEXT- Tests code tracing and subset reconstruction correctness.
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