Solve and extend the Knapsack problem

Q: Solve and extend the Knapsack problem

This is a Coding & Algorithms interview question from BitGo for Software Engineer roles. View the full question and solution on PracHub.

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Question

You are given n items, each with an integer weight and value, and a knapsack capacity W. Implement 0/1 Knapsack to return the maximum total value and also reconstruct one optimal set of item indices. Provide an O(nW) time, O(W) space dynamic programming solution and explain how to reconstruct choices from the compressed state. Then outline how to adapt the solution to unbounded and bounded knapsack variants and analyze time and space complexity.

Solve and extend the Knapsack problem

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