Question: ( a ) Describe a polynomial - time reduction from PARTITION to SUBSETSUM. ( b ) Describe a polynomial - time reduction from SUBSETSUM to

(a) Describe a polynomial-time reduction from PARTITION to SUBSETSUM. (b) Describe a polynomial-time reduction from SUBSETSUM to 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 Programming Questions!

Q:

You have been provided with the description of a programming language, J, intended for scripting applications. Its syntax is similar to a cut-down version of Java in that it consists of function...

Q:

2. Prove that the problems below are NP-complete. You can assume that the following problems are NP- complete: 3SAT, Hampath. Partition, Clique, and SAT. Make sure you show that the problems are in...

Q:

Given a set S of integers, an integer total, and a non-negative integer budget, the SubsetSum Decision problem is to report whether or not there is a subset of S, containing at most budget elements,...

Q:

4. [20 points] For any fixed integer k > 2, the k-PARTITION PROBLEM (abbreviated k-PP') is: given a sequence of positive integers (w, w2,... ,wn), is it possible to partition them into k groups...

Q:

4. [20 points] For any fixed integer k > 2, the k-PARTITION PROBLEM (abbreviated k-PP') is: given a sequence of positive integers (w, w2,... ,wn), is it possible to partition them into k groups...

Q:

3. Given a list of n > 0 strictly positive integers, X-(11, 12,.,Tn } whose sum is s = -1 Tg we want to determine if it is possible to partition X into three mutually disjoint subsets, say A1, A2,...

Q:

In a distributed electronic conference application each participant has a replica of a shared whiteboard. Only one user at a time may write to the whiteboard, after which the user's update is...

Q:

Consider the straightforward (nonpolynomial-time) reduction in the proof of Theorem 34.9. Describe a circuit of size n that, when converted to a formula by this method, yields a formula whose size is...

Q:

3. [NP-Complete Satisflability Problems: 3SAT][30; 5+5+10+10] To solve this problem, you should review the materials from the textbook, Section 10.3.3 "NP-Completeness ofCSAT" and 10.3.4 "NP...

Q:

do the following,..... Write program that reads a person's first and last names, separated by a space. Then the program outputs last name, comma, first name. Create program that takes in user input...

Q:

Price Controls: Many have argued that the problems of poverty can be alleviated through the use of controls in labor and housing markets. Consider the following two types of controls. (a). Consider...

Q:

Let X be the number of games of chess I win against Stephen. Assume that I have a 30% chance of winning in any particular game against him, and we play 5 games, with outcomes assumed to be...

Q:

Alan is an insurance producer who has just finished gathering his client's personal and financial information. Alan can see that the client has several options for meeting his goals. What ethical...

Q:

Johnson & Johnson needs to allocate joint costs to its products. The following information is available for the production process: Product Sales Value at Split-off Point Additional Processing Costs...