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Consider the following version of Knapsack. Given are two weight limits Wi and W2, where WW2. Given are also n items (wi, ci), (W2, C2)..... (Wn, Cn), where w, is the weight and c the cost of the i-th item. We want to find a subset of these items of the highest cost, where the subset weights at least W₁ and at most W2. Give an O(nW₂) algorithm for this problem. (Recall that the cost (respectively weight) of a subset is the sum of the costs (respectively weights) of the items in the subset.)

Consider the following version of Knapsack. Given are two weight limits Wi and W2, where WW2. Given are also n items (wi, ci), (W2, C2)..... (Wn, Cn), where w, is the weight and c the cost of the i-th item. We want to find a subset of these items of the highest cost, where the subset weights at least W₁ and at most W2. Give an O(nW₂) algorithm for this problem. (Recall that the cost (respectively weight) of a subset is the sum of the costs (respectively weights) of the items in the subset.)

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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Consider the following version of Knapsack. Given are two weight limits Wi and W2, where WW2. Given are also n items (wi, ci), (W2, C2)..... (Wn, Cn), where w, is the weight and c the cost of the i-th item. We want to find a subset of these items of the highest cost, where the subset weights at least W₁ and at most W2. Give an O(nW₂) algorithm for this problem. (Recall that the cost (respectively weight) of a subset is the sum of the costs (respectively weights) of the items in the subset.) 

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