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Given the following code snippet implementing DP with bitmask tabulation for partitioning nums = [4, 3, 2, 3, 5, 2, 1] into k = 4 subsets, what is the returned result?

easy🧾 Code Trace Q3 of Q15

Dynamic Programming: Knapsack - Partition to K Equal Sum Subsets

Given the following code snippet implementing DP with bitmask tabulation for partitioning nums = [4, 3, 2, 3, 5, 2, 1] into k = 4 subsets, what is the returned result?

AFalse

BTrue

CRaises an exception

DInfinite loop

Step-by-Step Solution

Solution:

Step 1: Calculate total and target
Total sum is 4+3+2+3+5+2+1=20, target per subset = 20/4=5.
Step 2: Check feasibility and DP execution
Largest number 5 equals target, so feasible. DP bitmask explores subsets and finds partitioning possible.
Final Answer:
Option B -> Option B
Quick Check:
Known example from problem statement returns True [OK]

Quick Trick: Sum divisible by k and largest ≤ target -> True [OK]

Common Mistakes:

MISTAKES

Forgetting to check divisibility
Misunderstanding dp mask meaning

Trap Explanation:

PITFALL

Candidates may incorrectly think partition is impossible due to element order or miss dp mask meaning.

Interviewer Note:

CONTEXT

Tests candidate's ability to trace DP bitmask code on canonical input

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