Dynamic Programming: Knapsack - Integer Break
Consider the same bottom-up DP code for integer break. What is the value of dp[1] and dp[0] after execution?
Consider the same bottom-up DP code for integer break. What is the value of dp[1] and dp[0] after execution?
medium🧾 Code Trace Q4 of Q15
Step-by-Step Solution
Solution:
Step 1: Check initialization
dp array initialized with zeros; dp[1] explicitly set to 1.Step 2: Loop behavior for n=1
Loop from i=2 to n does not run; dp[0] remains 0, dp[1] is 1.Final Answer:
Option D -> Option DQuick Check:
dp[0]=0, dp[1]=1 as per code [OK]
Quick Trick: dp[1] initialized to 1, dp[0] remains zero [OK]
Common Mistakes:
MISTAKES- Assuming dp[0] initialized to 1
- Ignoring dp[1] initialization
Trap Explanation:
PITFALL- Candidates confuse dp[0] and dp[1] initialization leading to wrong base case understanding.
Interviewer Note:
CONTEXT- Tests understanding of base cases and boundary conditions in DP
Master "Integer Break" in Dynamic Programming: Knapsack
Want More Practice?
15+ quiz questions · All difficulty levels · Free
Free Signup - Practice All QuestionsMore Dynamic Programming: Knapsack Quizzes