(c) The N-queen problem is to place N queens on an N x N chessboard in such a way that no Queen is being attacked by another Queen cither diagonally, horizontally or vertically. Three steps of the backtracking algorithm used to solve the N-Queen problem are as follows: Step 1: Place one queen on a new spot on the board so that it is not being attacked by any other Queen already on the board. Step 2: If successful, go to step 1, else go to step 3. Step 3: Remove the queen that was last placed on the board, then go to step 1. Using the algorithm described above, complete the solution for the 5-Queen problem by placing the other 4 Queens on each of the following chessboards.

(c) The N-queen problem is to place N queens on an N x N chessboard in such a way that no Queen is being attacked by another Queen cither diagonally, horizontally or vertically. Three steps of the backtracking algorithm used to solve the N-Queen problem are as follows: Step 1: Place one queen on a new spot on the board so that it is not being attacked by any other Queen already on the board. Step 2: If successful, go to step 1, else go to step 3. Step 3: Remove the queen that was last placed on the board, then go to step 1. Using the algorithm described above, complete the solution for the 5-Queen problem by placing the other 4 Queens on each of the following chessboards.

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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The rook is a chess piece that may move any number of spaces either horizontally or vertically. Consider the “rooks problem” where we try to place 8 rooks on an 8x8 chess board in such a way that no pair attacks each other. a. How many different solutions are there to this?b. Suppose we place the rooks on the board one by one, and we care about the order in which we put them on the board. We still cannot place them in ways that attack each other. How many different full sequences of placing the rooks (ending in one of the solutions from a) are there?
In n queens problem, n queens should be placed on an n × n chessboard so that theydo not threaten each other. Figure 5.15 gives one solution to the 8 queens problem,which has in total – omitting rotations and mirror images – 12 different solutions.Formulate the n queens problem as a search problem.
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