Dynamic Programming: Knapsack - Equal Partition (Partition Equal Subset Sum)
What does the function return for input [0] in the space-optimized Equal Partition solution?
What does the function return for input [0] in the space-optimized Equal Partition solution?
medium🧾 Code Trace Q4 of Q15
Step-by-Step Solution
Solution:
Step 1: Calculate total and target
Total = 0, target = 0.Step 2: dp initialization and loop
dp[0] = True initially. Since target=0, no iterations change dp.Final Answer:
Option D -> Option DQuick Check:
Empty subset sums to 0 -> True [OK]
Quick Trick: Sum zero means empty subset -> True [OK]
Common Mistakes:
MISTAKES- Assuming single zero element can't partition
- Index errors on zero target
Trap Explanation:
PITFALL- Candidates may think zero input returns False due to no elements to partition.
Interviewer Note:
CONTEXT- Tests handling of edge cases with zero sum and single element
Master "Equal Partition (Partition Equal Subset Sum)" in Dynamic Programming: Knapsack
Want More Practice?
15+ quiz questions · All difficulty levels · Free
Free Signup - Practice All QuestionsMore Dynamic Programming: Knapsack Quizzes