Dynamic Programming: Knapsack - Minimum Cost for Tickets
Given the dp array after running the bottom-up DP solution on some input days and costs: dp = [11, 9, 7, 7, 7, 2, 0]. Which of the following could be the original travel days array?
Given the dp array after running the bottom-up DP solution on some input days and costs: dp = [11, 9, 7, 7, 7, 2, 0]. Which of the following could be the original travel days array?
hard🔄 Reverse Engineer Q9 of Q15
Step-by-Step Solution
Solution:
Step 1: Analyze dp values in context
dp[0] = 11 matches known example for days [1,4,6,7,8,20].Step 2: Match dp pattern to travel days
Values decrease as days progress, consistent with example input and costs.Final Answer:
Option D -> Option DQuick Check:
dp matches example output for given days [OK]
Quick Trick: dp matches known example days [OK]
Common Mistakes:
MISTAKES- Guessing days without dp context
- Ignoring dp decreasing pattern
Trap Explanation:
PITFALL- Candidates often fail to connect dp values to specific input days.
Interviewer Note:
CONTEXT- Tests deep understanding of dp state meaning and input-output relation
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