[Solved] Suppose the Gas Station problem is extended so that each station can be refilled multiple times (unlimited gas pickups), but the... How does this change the approach to find a valid start station? | Greedy Algorithms

Greedy Algorithms - Gas Station (Circular)

Suppose the Gas Station problem is extended so that each station can be refilled multiple times (unlimited gas pickups), but the cost to travel remains the same. How does this change the approach to find a valid start station?

AThe original greedy approach still applies without modification

BA shortest path or graph cycle detection algorithm is needed

CA brute force approach is required to try all refill combinations

DThe problem reduces to checking if any station has gas ≥ cost

Step-by-Step Solution

Solution:

Step 1: Understand problem variant
Unlimited refills at stations mean gas is not consumed linearly; the problem becomes more complex.
Step 2: Identify suitable approach
This variant requires modeling as a graph with cycles and possibly shortest path or cycle detection algorithms, not simple greedy.
Final Answer:
Option B -> Option B
Quick Check:
Unlimited refills break greedy assumptions, requiring graph algorithms [OK]

Quick Trick: Unlimited refills -> graph cycle detection needed [OK]

Common Mistakes:

MISTAKES

Assuming greedy still works unchanged

Trap Explanation:

PITFALL

Candidates often try naive greedy ignoring unlimited refill complexity.

Interviewer Note:

CONTEXT

Tests ability to adapt approach to problem variants

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How does this change the approach to find a valid start station?

Step 1: Understand problem variant

Step 2: Identify suitable approach

Final Answer:

Quick Check:

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