Question: prove that the problem is NP-complete PROBLEM: SHOPPING BAG PROBLEM INPUT: set of m items and their weights in grams, two numbers B and T

prove that the problem is NP-complete

PROBLEM: SHOPPING BAG PROBLEM

INPUT: set of m items and their weights in grams, two numbers B and T

OUTPUT: Can we fit the m items into T bags, if each bag hold up to B grams?

Use PARTITION.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock 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

Students Have Also Explored These Related Databases Questions!

Q:

(3) PROBLEM: SHOPPING BAG PROBLEM INPUT: set of m items and their weights in grams, two numbers B and T OUTPUT: Can we fit the m items into T bags, if each bag hold up to B grams? Use PARTITION. (3)...

Q:

Let i and j be positive integers. (i) Prove that there exist natural numbers a and b such that ai = bj+gcd(i, j). You may use standard results provided that you state them clearly. [4 marks] (ii) Let...

Q:

In this question you will be asked to reflect on a project you have been involved in or observed, in which a design evolved, or could have evolved, through applying a theory of user behaviour. You...

Q:

Consider the trigonometric series a0 2 + X r=1 (ar cos rx + br sin rx) where a0, a1, a2, . . . and b1, b2, . . . are constants and suppose that f(x) is a periodic function of x with period 2. (a)...

Q:

: (i) What data structures are maintained by the page manager. (ii) What happens when a machine performs a read operation to a page. (iii) What happens when a machine performs a write operation to a...

Q:

llustrate different ways of connecting these components together to span a range of performance requirements. [10 marks] For each of the performance categories that you identify state today's typical...

Q:

ttth Suppose that the sequence of bags {Bn | n N} is recursively enumerated by the computable function e(n, x) = fn(x), [7 marks] Hence prove that the set of all recursive bags cannot be recursively...

Q:

Describe, and estimate the costs of, procedures to (a) insert a new item into an existing heap; (b) delete the topmost item from a non-empty heap; (c) starting from an array holding N items in...

Q:

Hi i need help with the following question please answer all the question is an extension im looking for 2.2 answers please The fist question and answer Thank you 2.2 EXPLORE Consider the Job...

Q:

There are two problems due this week (each worth 35 points) as follows. Case 5-1David L. Miller: Portrait of a White-Collar Criminal (page 144). In comprehensive paragraphs, answerrequirements 1?6....

Q:

Review the UTSA on the Web site of the National Conference of Commissioners on Uniform State Laws. a. Review the Legislative Fact Sheet. Which organization has endorsed the UTSA? b. Review the text...

Q:

In GDP, investment spending includes spending by households on a) second-hand houses b) new washing machine c) financial assets d) pumping services e) health care

Q:

What is logistic regression, and when is it used?

Q:

Which of the following are problems with identifying users of ABC? Multiple select question. ABC means different things to different organizations. Organizations will announce the discontinuance of...

Q:

Technology. Your instructor has asked you to speak to the faculty club at your school. Your speech is to be about the benefits of membership in student organizations. You are unable to make the...

Q:

Seafood Specialties Restaurant offers a shrimp and lobster tail special each Friday evening.You are manager of the restaurant. On Tuesday, you received a request from a customer, Shipley Masters, who...

Q:

You are the customer service representative for Fly High Airline. The airline awards frequent flyer miles but charges a $50 fee per ticket unless the free flight is booked more than 14 days in...