Dynamic Programming: Knapsack - Minimum Subset Sum Difference
What is the output of the minimum subset sum difference function for input arr = [10]?
What is the output of the minimum subset sum difference function for input arr = [10]?
medium🧾 Code Trace Q4 of Q15
Step-by-Step Solution
Solution:
Step 1: Calculate total sum and half
Sum = 10, half = 5Step 2: Check achievable sums ≤ 5
Only dp[0] = True initially; dp[10] = True after processing 10, but no sums between 1 and 5.Step 3: Find closest sum to half
Closest achievable sum ≤ 5 is 0, difference = 10 - 2*0 = 10Final Answer:
Option D -> Option DQuick Check:
Single element means difference equals element value [OK]
Quick Trick: Single element -> difference equals element itself [OK]
Common Mistakes:
MISTAKES- Assuming half sum is achievable, off-by-one in dp loop
Trap Explanation:
PITFALL- Candidates confuse dp indices or assume half sum always achievable, picking 0 difference incorrectly.
Interviewer Note:
CONTEXT- Tests boundary condition handling in DP solution.
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