Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

In the eight queens problem, eight queens must be placed on a chessboard in such a way that no pair of queens is currently threatening

image text in transcribed

image text in transcribed

image text in transcribed

image text in transcribed

In the eight queens problem, eight queens must be placed on a chessboard in such a way that no pair of queens is currently threatening one another. One possible solution to the eight queens problem is this: In any solution to the eight queens problem, all the empty squares on the chessboard are threatened by at least two queens. We refer to a square that is threatened by exactly two queens as safe. These squares are marked here in green: For the given configuration of queens, there is only one way to put four kings on the safe squares such that no two kings are currently threatening one another: With apologies to standard chess notation, we can describe the locations of the queens and kings on this board using the following two lists of coordinates: [(0,2),(1,5),(2,3),(3,1),(4,7),(5,4),(6,6),(7,0)] [(1,7),(3,0),(7,1),(7,3)] For n=14, an nn board and the following queen configuration: [(0,1),(1,9),(2,7),(3,5),(4,3),(5,12),(6,10),(7,13),(8,11),(9,6),(10,4),(11, 2),(12,0),(13,8)] Is it possible to find arrangement of n kings. One such arrangement is [(0,0),(1,10),(2,0),(4,0),(4,2),(9,2),(9,9),(11,0),(11,7),(11,11),(13,5),(13, 9),(13,11),(13,13)]. There are 41 possible arrangements of n kings in total. The goal: Find a placement of n=20 queens on an nn board such that no pair of queens threatens each other, and the number of different ways to place n kings on the safe squares without any pair of kings currently threatening one another is 48. Supply your Python code and answer in a list of the queen positions, as in the above example

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image_2

Step: 3

blur-text-image_3

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Data And Information Quality Dimensions, Principles And Techniques

Authors: Carlo Batini, Monica Scannapieco

1st Edition

3319241060, 9783319241067

More Books

Students also viewed these Databases questions

Question

2. What factors infl uence our perceptions?

Answered: 1 week ago