Dynamic Programming: Knapsack - Equal Partition (Partition Equal Subset Sum)
Given the following code snippet for the Equal Partition problem, what is the return value when input is [1, 5, 11, 5]?
Given the following code snippet for the Equal Partition problem, what is the return value when input is [1, 5, 11, 5]?
easy🧾 Code Trace Q3 of Q15
Step-by-Step Solution
Solution:
Step 1: Calculate total and target
Total = 1+5+11+5 = 22, target = 11.Step 2: Trace dp updates
DP array tracks sums achievable. Subset {11} and {1,5,5} both sum to 11, so dp[11] becomes True.Final Answer:
Option D -> Option DQuick Check:
Input has equal partition -> returns True [OK]
Quick Trick: Sum is even and subset sum exists -> True [OK]
Common Mistakes:
MISTAKES- Forgetting to check total evenness
- Misindexing dp array
Trap Explanation:
PITFALL- Candidates may incorrectly think dp[target] is False if they don't track dp updates carefully.
Interviewer Note:
CONTEXT- Tests ability to mentally execute bottom-up DP on typical input
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