Problem: N-Queens We would like to place n queens on an n x n chessboard, therefore no queen could ever take any of the other n queens. The brute-force algorithm has poor characteristics, so we want you to design a more efficient one. Input: you are given the size n such that n > 4 Output: return a 2D binary matrix whose dimension is n × n that represents the chessboard. A value of 1 means there is a queen in such position. Example: [o 1 0 0] 0 0 0 1 1 0 0 0 0 0 1 0 Requirements: i) develop a python function that implements your efficient, correct algorithm ii) empirically, test your function while varying the chessboard size, n, to have an intuition over the complexity of your algorithm. iii) show the complexity analysis of your algorithm, theoretically, from the perspective of space and time. iv) write a function to visualize your solution, graphically.

Problem: N-Queens We would like to place n queens on an n x n chessboard, therefore no queen could ever take any of the other n queens. The brute-force algorithm has poor characteristics, so we want you to design a more efficient one. Input: you are given the size n such that n > 4 Output: return a 2D binary matrix whose dimension is n × n that represents the chessboard. A value of 1 means there is a queen in such position. Example: [o 1 0 0] 0 0 0 1 1 0 0 0 0 0 1 0 Requirements: i) develop a python function that implements your efficient, correct algorithm ii) empirically, test your function while varying the chessboard size, n, to have an intuition over the complexity of your algorithm. iii) show the complexity analysis of your algorithm, theoretically, from the perspective of space and time. iv) write a function to visualize your solution, graphically.

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

Subject: Analysis & Design of Algorithms

Solve Using Python

Note: I want the output to be the same as shown in the screenshot.

Problem:
N-Queens
We would like to place n queens on an n x n chessboard, therefore no queen could ever
take any of the other n queens. The brute-force algorithm has poor characteristics, so we
want you to design a more efficient one.
Input:
you are given the size n such that n > 4
Output:
return a 2D binary matrix whose dimension is n xn that represents the chessboard.
A value of 1 means there is a queen in such position.
Example:
0 1 0 0]
0 0 0 1
1 0 0 0
0 0 1 0
Requirements:
i) develop a python function that implements your efficient, correct algorithm
ii) empirically, test your function while varying the chessboard size, n, to have an
intuition over the complexity of your algorithm.
iii) show the complexity analysis of your algorithm, theoretically, from the perspective
of space and time.
iv) write a function to visualize your solution, graphically.

Process or set of rules that allow for the solving of specific, well-defined computational problems through a specific series of commands. This topic is fundamental in computer science, especially with regard to artificial intelligence, databases, graphics, networking, operating systems, and security.

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