Dynamic Programming: Knapsack - Minimum Cost for Tickets
What is the output of mincostTickets([10], [5,10,20]) using the bottom-up DP code below?
What is the output of mincostTickets([10], [5,10,20]) using the bottom-up DP code below?
medium🧾 Code Trace Q4 of Q15
Step-by-Step Solution
Solution:
Step 1: Calculate dp for single travel day
Only one day (10), dp[1] = 0 (base case), dp[0] = min(5+dp[1],10+dp[1],20+dp[1]) = 5Step 2: Verify output matches cheapest ticket
Since dp[0] = 5, output is 5, which corresponds to 5.Final Answer:
Option D -> Option DQuick Check:
Single day, cheapest ticket cost is 5 [OK]
Quick Trick: Single day -> cheapest ticket cost [OK]
Common Mistakes:
MISTAKES- Confusing dp indices
- Misreading costs array
Trap Explanation:
PITFALL- Candidates sometimes pick cost of longer tickets ignoring cheapest 1-day pass.
Interviewer Note:
CONTEXT- Tests code trace on minimal edge case input
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