Design Algorithm for Longest Increasing Subsequence Length

Q: Design Algorithm for Longest Increasing Subsequence Length

This question evaluates algorithm design and data structure skills, covering subsequence analysis, constraint/graph modeling for seating, and external-memory sorting considerations for scalability.

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Programming assessment and infrastructure panel

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Design an algorithm to return the length of the Longest Increasing Subsequence of an array.

Seat students so that no two listed friends sit next to each other; provide algorithm and complexity.

How would you sort a file containing 50 numbers? How would your approach change for a 1-million-number file stored on disk?

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Use O(n log n) patience sorting + binary search; graph/constraint satisfaction; external merge-sort for large files.

Design Algorithm for Longest Increasing Subsequence Length

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