In the Knapsack problem, consider the setting where the size equals the value (s;=v,). And Let 1,2.k be the items packed in an optimal solution where v-12Vi for 1 slsk, then.. (Multi-choose) If an algorithm packs any k/of these items, then it gives a 2-approximation Jf an algorithm packs at least the items 1,2,.rk/21, then it is a 2-approximation Any optimal algorithm must pack all items 1,2.k

Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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In the Knapsack problem, consider the setting where the size equals the value (s;=v;). And Let 1,2,..k
be the items packed in an optimal solution where v-12v; for 1 s1s k, then.. (Multi-choose)
If an algorithm packs any k/of these items, then it gives a 2-approximation
If an algorithm packs at least the items 1,2,.,rk/21, then it is a 2-approximation
Any optimal algorithm must pack all items 1,2,.k
Transcribed Image Text:In the Knapsack problem, consider the setting where the size equals the value (s;=v;). And Let 1,2,..k be the items packed in an optimal solution where v-12v; for 1 s1s k, then.. (Multi-choose) If an algorithm packs any k/of these items, then it gives a 2-approximation If an algorithm packs at least the items 1,2,.,rk/21, then it is a 2-approximation Any optimal algorithm must pack all items 1,2,.k
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