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The "value per pound" greedy strategy didn't work to solve the 0-1 knapsack problem. Would the "price per inch" greedy strategy work for the rod-cutting problem? Price-per-Inch Strategy: Given a rod of length n, first cut off a piece of length i, where 1

The "value per pound" greedy strategy didn't work to solve the 0-1 knapsack problem. Would the "price per inch" greedy strategy work for the rod-cutting problem? Price-per-Inch Strategy: Given a rod of length n, first cut off a piece of length i, where 1

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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The "value per pound" greedy strategy didn't work to solve the 0-1 knapsack problem. Would the "price per inch" greedy strategy work for the rod-cutting problem? Price-per-Inch Strategy: Given a rod of length n, first cut off a piece of length i, where 1 <i<n, having maximum price per inch, and then continue by applying the same strategy to the remaining piece of length n- i. If the above strategy always yields an optimal solution, then provide a pseudo code describing the greedy algorithm for the rod-cutting problem. Otherwise, provide a counter example.
Transcribed Image Text:The "value per pound" greedy strategy didn't work to solve the 0-1 knapsack problem. Would the "price per inch" greedy strategy work for the rod-cutting problem? Price-per-Inch Strategy: Given a rod of length n, first cut off a piece of length i, where 1 <i<n, having maximum price per inch, and then continue by applying the same strategy to the remaining piece of length n- i. If the above strategy always yields an optimal solution, then provide a pseudo code describing the greedy algorithm for the rod-cutting problem. Otherwise, provide a counter example.
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