[Solved] You are given a list of trips, each with a number of passengers, a start location, and an end location.... Which algorithmic pattern best fits this problem? | Intervals

Intervals - Car Pooling

You are given a list of trips, each with a number of passengers, a start location, and an end location. You need to determine if the car capacity is exceeded at any point during the trips. Which algorithmic pattern best fits this problem?

ABinary Search on sorted trip start times

BInterval Merging to find maximum overlapping intervals

CSweep Line / Event Processing to track passenger changes over locations

DDynamic Programming for subset sum of passenger counts

Step-by-Step Solution

Solution:

Step 1: Understand problem requirements
The problem requires tracking cumulative passenger counts over intervals and checking capacity constraints at any point.
Step 2: Identify suitable pattern
Sweep Line / Event Processing efficiently tracks incremental changes at start and end points, allowing capacity checks as we process events in order.
Final Answer:
Option C -> Option C
Quick Check:
Tracking incremental changes over intervals -> Sweep Line [OK]

Quick Trick: Track incremental changes at interval boundaries [OK]

Common Mistakes:

MISTAKES

Confusing with interval merging which merges intervals but doesn't track capacity
Using DP which is unnecessary here

Trap Explanation:

PITFALL

Candidates often pick interval merging because it deals with intervals, but it doesn't track cumulative capacity changes.

Interviewer Note:

CONTEXT

Tests candidate's ability to recognize interval event processing pattern.

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Which algorithmic pattern best fits this problem?

Step 1: Understand problem requirements

Step 2: Identify suitable pattern

Final Answer:

Quick Check:

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