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Which of the following problems CANNOT be solved using the Gas Station (Circular) greedy pattern?

easy🔍 Pattern Recognition Q2 of Q15
Greedy Algorithms - Gas Station (Circular)
Which of the following problems CANNOT be solved using the Gas Station (Circular) greedy pattern?
AFind a starting point in a circular route to complete a full cycle with gas constraints
BDetermine if a circular array can be rotated to form a non-decreasing sequence
CFind the minimum starting gas station to complete a circular route without running out of gas
DCalculate if total gas is sufficient to cover total cost in a circular route
Step-by-Step Solution
Solution:
  1. Step 1: Analyze each option

    Options A and C directly relate to finding a start point in a circular gas route, solvable by the Gas Station pattern. Determine if a circular array can be rotated to form a non-decreasing sequence is about array rotation and ordering, unrelated to gas or cost constraints.
  2. Step 2: Identify the anti-pattern

    Calculate if total gas is sufficient to cover total cost in a circular route is a simple sum check, not requiring the Gas Station pattern itself; it's a prerequisite check, not the main problem.
  3. Final Answer:

    Option B -> Option B
  4. Quick Check:

    Rotation and ordering problems are unrelated to gas station greedy pattern [OK]
Quick Trick: Sum check is prerequisite, not the pattern itself [OK]
Common Mistakes:
MISTAKES
  • Confusing prerequisite checks with the main pattern
Trap Explanation:
PITFALL
  • Candidates often think total sum check is the pattern, but it's only a feasibility test.
Interviewer Note:
CONTEXT
  • Tests ability to distinguish problem core from prerequisite conditions
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