Question: One form of the knapsack problem is as follows: We are given a set of integers A = a1, a2, . . . , aN

One form of the knapsack problem is as follows: We are given a set of integers A = a1, a2, . . . , aN and an integer K. Is there a subset of A whose sum is exactly K?
a. Give an algorithm that solves the knapsack problem in O(NK) time.
b. Why does this not show that P = NP?

Step by Step Solution

3.32 Rating (158 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a A dynamic programming solution resolves part a Let FITS i s be 1 if a subset of the ... 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

1486-C-S-A(547).docx

120 KBs Word File

Students Have Also Explored These Related Algorithms Questions!