Prove that the following problem is properly classified as NP. We are given a set S of integers and a number t that is also an integer. Does S include a subset for which the multiplication of its elements yields t?

Q: Show that this problem is NP: S and t are positive integers. Does S have a subset with t…

A: NP (short for "nondeterministic polynomial time") is a complexity class of decision problems in…

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A: The Subset Sum problem is the name for the issue you've just explained. Determine whether there is a…

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A: The pumping lemma is often used to prove that a particular language is non-regular.

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Q: on't copy please

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A: Answer: I have given answered in the handwritten format in brief explanation

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Q: The subset sum problem is defined as follows: SUBSETSUM = {(a1, a2, . , am; b) : m,a1, a2, … ..,am;…

A: Tо  sоlve  the  рrоblem  in  Рseudо-роlynоmiаl  time  use  the  Dynаmiс  рrоgrаmming.Sо  we  will…

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A: the explanation about if the given problem is decidable or not is given below

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A:

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A: Introduction

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A: Please find the answer in step2

Q: Show that the following problem belongs to NP class: we are given a set S of integer numbers and an…

A: Answer is given below-

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A: Answer is given below with explanation

Q: 1. For this problem consider the Maximum problem stated below. Maximum Input: A sequence of n…

A: check further steps for the answer :

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A: Given:-

Eight puzzle problem

The N-puzzle problem contains N tiles (N+1 including empty tiles) where the value of N can be 8, 15, 24, etc. The puzzle is divided into the square root of (N+1) rows and the square root of (N+1) columns. These problems have an initial state or configuration and a goal state or configuration. The puzzle can be solved by shifting the tiles one by one in the empty space. The objective is to place the numbers on the tiles to match the final state using the empty space. The other name for the N-puzzle problem is the sliding puzzle.