Build a solution for the 0-1 Knapsack problem using best-first search algorithm (Ch.6.1.2).We have 5 items with price and weight (p/w):1. $50/202. $30/53. $40/104. $10/55. $20/4Limitation on the weight is: W = 21.Find a sequence of visited nodes, find a final solution.Paragraph くBIUくA✓Ev►11く00Lato (Recom... V19px... v</>D+ vงརུཊ

Profit [] = (50, 30, 40, 10, 20) Weight [] = (20, 5, 10, 5,4) → Weight = (20+5) = 25 > 20 so,…

Answered: Build a solution for 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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In the figure below there is a weighted graph, dots represent vertices, links represent edges, and numbers represent edge weights. S 2 1 2 1 2 3 T 1 1 2 4 (a) Find the shortest path from vertex S to vertex T, i.e., the path of minimum weight between S and T. (b) Find the minimum subgraph (set of edges) that connects all vertices in the graph and has the smallest total weight (sum of edge weights). 2. 3.
Perform in Python
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True or false: For graphs with negative weights, one workaround to be able to use Dijkstra’s algorithm (instead of Bellman-Ford) would be to simply make all edge weights positive; for example, if the most negative weight in a graph is -8, then we can simply add +8 to all weights, compute the shortest path, then decrease all weights by -8 to return to the original graph. Select one: True False
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Suppose a candidate solution p, where p is a phenotype consisting of 4 vertices. Suppose that minimum fitness occurs when no pair of vertices in p are connected, and maximum fitness occurs when all pairs of vertices in p are connected. Write a pseudocode on how to calculate the fitness F of p.
Consider three variables (X, Y, and Z), and their values as in the following: X = {2,3,7}, Y = {3,5}, and Z = {7,2}. We want to find all combinations of X, Y, and Z such that X≠Y,Y≠Z, and X≠Z. Give the search space (i.e., the entire search tree). You can consider any order of variables and values. In the search tree, identify all the solutions.
dtgdf
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In this question you will explore Graph Colouring algorithms. Given a graph G, we say that G is k-colourable if every vertex of G can be assigned one of k colours so that for every pair u, v of adjacent vertices, u and v are assigned different colours. The chromatic number of a graph G, denoted by χ(G), is the smallest integer k for which graph G is k-colorable. To show that χ(G) = k, you must show that the graph is k-colourable and that the graph is not (k − 1)-colourable. Question: It is NP-complete to determine whether an arbitrary graph has chromatic number k, where k ≥ 3. However, determining whether an arbitrary graph has chromatic number 2 is in P. Given a graph G on n vertices, create an algorithm that will return TRUE if χ(G) = 2 and FALSE if χ(G) 6= 2. Clearly explain how your algorithm works, why it guarantees the correct output, and determine the running time of your algorithm.
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