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Which of the following problems CANNOT be solved efficiently using the Minimum Cost for Tickets dynamic programming pattern?

easy🔍 Pattern Recognition Q2 of Q15
Dynamic Programming: Knapsack - Minimum Cost for Tickets
Which of the following problems CANNOT be solved efficiently using the Minimum Cost for Tickets dynamic programming pattern?
AFind minimum cost to cover travel days with tickets of different durations
BCompute minimum cost to cover a set of days with unlimited ticket reuse
CDetermine minimum cost to buy passes covering given days with overlapping durations
DCalculate minimum number of intervals to cover all points on a line
Step-by-Step Solution
Solution:

  1. Step 1: Analyze problem constraints

    The Minimum Cost for Tickets pattern assumes tickets cover continuous intervals and can be used once per purchase.

  2. Step 2: Identify which problem breaks assumptions

    Allowing unlimited reuse on distinct days changes the problem fundamentally, requiring a different approach than standard DP.

  3. Final Answer:

    Option B -> Option B

  4. Quick Check:

    Unlimited reuse breaks DP assumptions -> not solvable by this pattern [OK]
Quick Trick: Unlimited reuse breaks DP assumptions [OK]
Common Mistakes:
MISTAKES
  • Assuming all interval covering problems fit the pattern
  • Ignoring ticket reuse constraints
Trap Explanation:
PITFALL
  • Candidates often overlook the unlimited reuse constraint, thinking DP applies directly.
Interviewer Note:
CONTEXT
  • Tests anti-pattern recognition and understanding of DP applicability limits
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