Answered Essay: Can anyone provide codes for the 8 Queens problem? In C++ codes, as simple as

Can anyone provide codes for the 8 Queens problem? In C++ codes, as simple as possible, Thank you!

Expert Answer

 

#include <iostream>

#define N 8 /*Defining the number of queens*/

using namespace std;

/* printing the solution of 8 queen problem*/

void printQueenSolution(int board[N][N])

{

for (int i = 0; i < N; i++)

{

for (int j = 0; j < N; j++)

cout<<board[i][j]<<” “;

cout<<endl;

}

}

/* check if a queen can be placed on board[row][col]*/

bool isSafe(int board[N][N], int row, int col)

{

int i, j;

for (i = 0; i < col; i++)

{

if (board[row][i])

return false;

}

for (i = row, j = col; i >= 0 && j >= 0; i–, j–)

{

if (board[i][j])

return false;

}

for (i = row, j = col; j >= 0 && i < N; i++, j–)

{

if (board[i][j])

return false;

}

return true;

}

/*solve N Queen problem */

bool solveNQ(int board[N][N], int col)

{

if (col >= N)

return true;

for (int i = 0; i < N; i++)

{

/*Putting queen in place and checking for the board to be safe*/

if ( isSafe(board, i, col) )

{

board[i][col] = 1;

if (solveNQ(board, col + 1) == true)/*Calling the function recursively to put the queen in place and checking board to be safe*/

return true;

board[i][col] = 0;

}

}

return false;

}

// Main

int main()

{

/* creating board */

int board[N][N] = {0};

/* solves the N Queen problem using Backtracking.*/

if (solveNQ(board, 0) == false)

{

cout<<“Solution does not exist”<<endl;

return false;

}

printQueenSolution(board);

return 0;

}

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