Dynamic Programming: Knapsack - Subset Sum
What is the output of the space-optimized subset sum function when nums = [7] and S = 0?
What is the output of the space-optimized subset sum function when nums = [7] and S = 0?
medium🧾 Code Trace Q4 of Q15
Step-by-Step Solution
Solution:
Step 1: Initialize dp array
dp[0] = True since empty subset sums to 0.Step 2: Process nums and check dp[0]
Since S=0, no iteration updates dp; dp[0] remains True.Final Answer:
Option A -> Option AQuick Check:
Empty subset sums to zero [OK]
Quick Trick: dp[0] always True for sum zero [OK]
Common Mistakes:
MISTAKES- Assuming sum zero requires selecting elements
- Ignoring base case dp[0] initialization
Trap Explanation:
PITFALL- Candidates often forget empty subset sums to zero, returning False incorrectly.
Interviewer Note:
CONTEXT- Checks understanding of base cases and edge conditions in DP.
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