Question: Give a dynamic-programming solution to the 01 knapsack problem that runs in O (n W) time, where n is number of items and W is

Give a dynamic-programming solution to the 0–1 knapsack problem that runs in O (n W) time, where n is number of items and W is the maximum weight of items that the thief can put in his knapsack.

Step by Step Solution

3.49 Rating (169 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

The solution is based on the optimalsubstructure observation in the text Let i be the highestnumbered item in an optimal solution S for W pounds and i... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Document Format (1 attachment)

Word file Icon

C-S-A (115).docx

120 KBs Word File

Students Have Also Explored These Related Algorithms Questions!