Largest Divisible Subset
Application of Longest Increasing Subsequence
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Algorithms and Data Structures: TheAlgorist.com
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System Design: DistributedComputing.dev
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Frontend Engineering: FrontendEngineering.io
Problem Statement:
Given a set of distinct positive integers, find the largest subset such that every pair (Si, Sj) of elements in this subset satisfies:
Si % Sj = 0 or Sj % Si = 0.
If there are multiple solutions, return any subset is fine.
Example 1:
Input: [1,2,3]
Output: [1,2] (of course, [1,3] will also be ok)
Example 2:
Input: [1,2,4,8]
Output: [1,2,4,8]
Solution:
Detailed Algorithm Discussion:
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Java Code:
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Python Code:
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Other related chapters:
- Core Concept
- Box Stacking
- Russian Doll Envelopes
- Longest String Chain
- Best Team with No Conflict
- Longest Bitonic Subsequence
Instructor:
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