A well-known problem in computer science is called the knapsack problem. A variation is as follows: Given a collection of weights of (possibly) different integral values, is it possible to place some of the weights in a knapsack so as to fill it to some exact total weight? For example, if the weights are 3, 5, 6, and 9, then it is possible for such totals as 3, 8, 11, 14, 17, etc. to be made exactly, but 2, 4, 22, etc. are not possible. Create a Knapsack application that solves this problem. Save & Run Load History Show CodeLens 1 public class Knapsack{ 2 /* Returns true if there exists a subset of the items in 4 * weights[start..weights.length] that sum to goal. pre: items in weights[start..weights.length] > 0 post: true has been returned if there exists a subset of items in weights[start..weights.length] that sum to goal. 大 7 8. */ 9. public boolean fillKnapsack (int [] weights, int goal, int start) 10 11 } 12 }

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
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grade 12 computer science chapter Recursion

* Returns true if there exists a subset of the items in
* weights[start..weights.length] that sum to goal.
* pre: items in weights[start..weights.length] > 0
* post: true has been returned if there exists a subset
* of items in weights[start..weights.length] that sum to goal.

A well-known problem in computer science is called the knapsack problem. A variation is as follows:
Given a collection of weights of (possibly) different integral values, is it possible to place some of the
weights in a knapsack so as to fill it to some exact total weight?
For example, if the weights are 3, 5, 6, and 9, then it is possible for such totals as 3, 8, 11, 14, 17,
etc. to be made exactly, but 2, 4, 22, etc. are not possible.
Create a Knapsack application that solves this problem.
Save & Run
Load History
Show CodeLens
1 public class Knapsack{
/* Returns true if there exists a subset of the items in
4
* weights[start..weights.length] that sum to goal.
pre: items in weights[start..weights.length] > 0
post: true has been returned if there exists a subset
of items in weights[start..weights.length] that sum to goal.
7
8
* /
9.
public boolean fillKnapsack (int [] weights, int goal, int start)
10
11
}
12 }
13
Transcribed Image Text:A well-known problem in computer science is called the knapsack problem. A variation is as follows: Given a collection of weights of (possibly) different integral values, is it possible to place some of the weights in a knapsack so as to fill it to some exact total weight? For example, if the weights are 3, 5, 6, and 9, then it is possible for such totals as 3, 8, 11, 14, 17, etc. to be made exactly, but 2, 4, 22, etc. are not possible. Create a Knapsack application that solves this problem. Save & Run Load History Show CodeLens 1 public class Knapsack{ /* Returns true if there exists a subset of the items in 4 * weights[start..weights.length] that sum to goal. pre: items in weights[start..weights.length] > 0 post: true has been returned if there exists a subset of items in weights[start..weights.length] that sum to goal. 7 8 * / 9. public boolean fillKnapsack (int [] weights, int goal, int start) 10 11 } 12 } 13
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