Promising function in the 0-1 Knapsack problem:Check whether addition of the next item would violate the weight limitationCheck whether the next number will bring the sum over the limitIs not usedCheck whether two queens are in the same column, row or diagonal line

Approach to solving the question: In the context of the 0-1 Knapsack problem, the promising function…

Answered: Promising function in the 0-1 Knapsack…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Single Point based Search: Fair share problem: Given a set of N positive integers S={x1, x2, x3,…, xk,… xN}, decide whether S can be partitioned into two sets S0 and S1 such that the sum of numbers in S0 equals to the sum of numbers in S1. This problem can be formulated as a minimisation problem using the objective function which takes the absolute value of the difference between the sum of elements in S0 and the sum of elements in S1. Assuming that such a partition is possible, then the minimum for a given problem instance would have an objective value of 0. A candidate solution can be represented using a binary array r=[b1, b2, b3,…, bk,… bN], where bk is a binary variable indicating which set the k-th number in S is partitioned into, that is, if bk =0, then the k-th number is partitioned in to S0, otherwise (which means bk =1) the k-th number is partitioned in to S1. For example, given the set with five integers S={4, 1, 2, 2, 1}, the solution [0,1,0,1,1] indicates that S is…
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Change-making problem:Given a money system, is it possible to give an amount of coins and how to find a minimal set of coins corresponding to this amount.
Correct answer will be upvoted else Multiple Downvoted. Don't submit random answer. Computer science. The new scholarly year has begun, and Berland's college has n first-year understudies. They are separated into k scholarly gatherings, in any case, a portion of the gatherings may be vacant. Among the understudies, there are m sets of associates, and every colleague pair may be both in a typical gathering or be in two unique gatherings. Alice is the custodian of the primary years, she needs to have an engaging game to make everybody know one another. To do that, she will choose two unique scholastic gatherings and afterward partition the understudies of those gatherings into two groups. The game requires that there are no colleague sets inside every one of the groups. Alice thinks about the number of sets of gatherings she can choose, with the end goal that it'll be feasible to play a game after that. All understudies of the two chose bunches should participate in the game.…
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On a chess board of r rows and c columns there is a lone white rook surrounded by a group of opponent's black knights. Each knight attacks 8 squares as in a typical chess game, which are shown in the figure - the knight on the red square attacks the 8 squares with a red dot. The rook can move horizontally and vertically by any number of squares. The rook can safely pass through an empty square that is attacked by a knight, but it must move to a square that is not attacked by any knight. The rook cannot jump over a knight while moving. If the rook moves to a square that contains a knight, it may capture it and remove it from the board. The black knights. never move. Can the rook eventually safely move to the designated target square? The figure illustrates how the white rook can move to the blue target square at the top-right corner in the first sample case. The rook captures one black knight at the bottom-right of the board on its way. Rok nd kight lcoes by Chunen Input The first line…
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Correct answer will be upvoted else downvoted. Computer science. example of a chainword is the accompanying triple: a line of m lowercase Latin letters; the main clue: an arrangement of fragments with the end goal that the letters that compare to each portion spell a word from the word reference; the subsequent clue: one more succession of portions with the end goal that the letters that relate to each section spell a word from the word reference. Note that the successions of portions don't really need to be unmistakable. Two occasions of chainwords are considered unique on the off chance that they have various strings, diverse first clues or distinctive second clues. Count the number of various examples of chainwords. Since the number may be really huge, output it modulo 998244353. Input The primary line contains two integers n and m (1≤n≤8, 1≤m≤109) — the number of words in the word reference and the number of letter cells. Every one of the following n…

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Promising function in the 0-1 Knapsack problem: Check whether addition of the next item would violate the weight limitation Check whether the next number will bring the sum over the limit Is not used Check whether two queens are in the same column, row or diagonal line