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1057. Campus Bikes

Medium58.8% AcceptancePremium
ArrayGreedySorting
Asked by:
ProblemHints (2)SolutionsVideosCompanies (1)Notes

Problem Statement

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A
Amazon

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1
Hint 1

<p>Sort the elements by distance. In case of a tie, sort them by the index of the worker. After that, if there are still ties, sort them by the index of the bike.</p> <p>Can you do this in less than O(nlogn) time, where n is the total number of pairs between workers and bikes?</p>

2
Hint 2

Loop the sorted elements and match each pair of worker and bike if the given worker and bike where not used.

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1:00151,422 views

Asked By Companies

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A
Amazon

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Related Topics

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Problem Stats

Acceptance Rate58.8%
DifficultyMedium
Companies1

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Frequently Asked Questions

Is Campus Bikes asked in FAANG interviews?

Yes, problems similar to Campus Bikes appear in technical interviews at major tech companies. They test understanding of greedy strategies, sorting, and efficient pair processing.

What is the optimal approach for Campus Bikes?

A common optimal strategy is to compute all worker–bike pairs with their Manhattan distances and sort them. Then greedily assign bikes starting from the smallest distance while ensuring each worker and bike is used only once.

Why is Manhattan distance used in Campus Bikes?

Manhattan distance measures grid-based movement using |x1-x2| + |y1-y2|. Since workers and bikes are placed on a grid, this metric correctly represents the distance required to move between two points.

What data structure is best for solving Campus Bikes?

Arrays or lists are typically used to store worker–bike pairs along with their computed distances. Sorting structures or bucket arrays grouped by distance help efficiently process the pairs in increasing order.