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Find the least two instances of the n- Queens problem that have no solutions N= 2 N= 3

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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Question

Find the least two instances of the n- Queens problem that have no solutions

N= 2

N= 3

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An NP-complete problem is a fascinating kind of problem because till now no one has discovered the polynomial-time algorithm to solve it and also no one has proved that no polynomial-time algorithm can exist for any NP-complete problem. It is an open research problem since it was first posed in 1971 to prove P#NP. The NxN Queens problem can be summarized as follows: putting N chess queens on an N×N chessboard such that none of them is able to attack any other queen using the standard chess queen's moves (row-column- diagonal). Thus, a solution requires that no two queens share the same row, column, or diagonal. Solutions exist only for N = 1 or N 2 4. Use the given function below to test whether a queen is attacked by another or not. You are not allowed to use any other code to check if a queen is safe. Implement a backtracking solution for the algorithm in Java that finds all possible solutions for N queens and measure the execution time it takes for N=4 to 12 and compare them…
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