Dynamic Programming: Knapsack - Partition to K Equal Sum Subsets
Consider the DP bitmask tabulation code for partitioning
nums = [0] into k = 1 subset. What is the output?Consider the DP bitmask tabulation code for partitioning nums = [0] into k = 1 subset. What is the output?
medium🧾 Code Trace Q4 of Q15
Step-by-Step Solution
Solution:
Step 1: Calculate total and target
Total sum is 0, k=1, so target = 0/1=0.Step 2: DP initialization and iteration
DP starts with dp[0]=0. Adding nums[0]=0 keeps sum ≤ target. Final dp[(1<<1)-1]=dp[1]=0, so returns True.Final Answer:
Option A -> Option AQuick Check:
Partitioning single zero element into one subset is trivially True [OK]
Quick Trick: Sum zero with k=1 -> True [OK]
Common Mistakes:
MISTAKES- Thinking zero division error occurs
- Missing base case with zero sum
Trap Explanation:
PITFALL- Candidates may incorrectly assume division by zero or infinite loop with zero sums.
Interviewer Note:
CONTEXT- Tests candidate's handling of edge cases with zero and single element
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