### N-Queens ProblemA Queen on a chessboard can attack any piece in the same column, row, or diagonal. The N-Queens problem is to place \( n \) queens on an \( n \times n \) chessboard so that no two queens threaten each other.#### Task Description**a)** Implement a one-dimensional integer array of Queen positions for an 8x8 board where indices represent rows and the values represent columns.- For example, a “safe” solution would be \(\{3, 6, 2, 7, 1, 4, 0, 5\}\)```. . . Q . . . .. . . . . . Q .. . Q . . . . .. . . . . Q . .. Q . . . . . .. . . . Q . . .Q . . . . . . .. . . . . . Q .```**b)** Implement a `print` function to display the board (refer to the output example).**c)** Implement an `isSafe` function that:1) Returns `false` if multiple queens share a column2) Returns `false` if multiple queens share a diagonal3) Returns `true` if all queens are safe**d)** The program should display if the Queens are safe or not safe.#### Example Output```Testing: 1 4 2 3 5 7 6 0. Q . . . . . .. . . . . Q . .. . Q . . . . .. . . . . . Q .. . . Q . . . .. . . . . . . Q. . . . Q . . .Q . . . . . . .Queens are not safe!```---This problem involves setting up a chessboard and determining whether the placement of queens is safe from attacks according to the rules of chess. The example output shows a placement of queens that results in an unsafe configuration.

Solution- In the above program we give an two differ output of N- queen as one for display the…

A Queen on a chessboard can attack any piece in the same column, row or diagonal. The N-Queens problem is to place n queens on a n x n chessboard such that no two queens threaten each other. a) Implement a one-dimensional integer array of Queen positions for an 8x8 board where indices represent rows and the values represent columns. For example, a "safe" solution would be (3,6,2,7,1,4,0,5}

A Queen on a chessboard can attack any piece in the same column, row or diagonal. The N-Queens problem is to place n queens on a n x n chessboard such that no two queens threaten each other. a) Implement a one-dimensional integer array of Queen positions for an 8x8 board where indices represent rows and the values represent columns. For example, a "safe" solution would be (3,6,2,7,1,4,0,5}

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

### N-Queens Problem

A Queen on a chessboard can attack any piece in the same column, row, or diagonal. The N-Queens problem is to place \( n \) queens on an \( n \times n \) chessboard so that no two queens threaten each other.

#### Task Description

**a)** Implement a one-dimensional integer array of Queen positions for an 8x8 board where indices represent rows and the values represent columns.

- For example, a “safe” solution would be \(\{3, 6, 2, 7, 1, 4, 0, 5\}\)

```
. . . Q . . . .
. . . . . . Q .
. . Q . . . . .
. . . . . Q . .
. Q . . . . . .
. . . . Q . . .
Q . . . . . . .
. . . . . . Q .
```

**b)** Implement a `print` function to display the board (refer to the output example).

**c)** Implement an `isSafe` function that:
1) Returns `false` if multiple queens share a column
2) Returns `false` if multiple queens share a diagonal
3) Returns `true` if all queens are safe

**d)** The program should display if the Queens are safe or not safe.

#### Example Output

```
Testing: 1 4 2 3 5 7 6 0

. Q . . . . . .
. . . . . Q . .
. . Q . . . . .
. . . . . . Q .
. . . Q . . . .
. . . . . . . Q
. . . . Q . . .
Q . . . . . . .

Queens are not safe!
```

---

This problem involves setting up a chessboard and determining whether the placement of queens is safe from attacks according to the rules of chess. The example output shows a placement of queens that results in an unsafe configuration.

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