How can I visualize the solutions to the N-Queens problem?

How can I visualize the solutions to the N-Queens problem?

You can visualize the N-Queens solutions using a backtracking algorithm to place queens on a chessboard. Would you like a code example?

Yes, please provide a code example in Python.

Here's a simple Python code snippet that uses recursion to find and visualize N-Queens solutions:

def solve_n_queens(n):
    def is_safe(board, row, col):
        for i in range(col):
            if board[row][i] == 1:
                return False
        for i, j in zip(range(row, -1, -1), range(col, -1, -1)):
            if board[i][j] == 1:
                return False
        for i, j in zip(range(row, n, 1), range(col, -1, -1)):
            if board[i][j] == 1:
                return False
        return True

    def solve_util(board, col):
        if col >= n:
            print_board(board)
            return True
        for i in range(n):
            if is_safe(board, i, col):
                board[i][col] = 1
                solve_util(board, col + 1)
                board[i][col] = 0
        return False

    def print_board(board):
        for row in board:
            print(' '.join('Q' if x else '.' for x in row))
        print()

    board = [[0] * n for _ in range(n)]
    solve_util(board, 0)

solve_n_queens(4)  # Change the number for different sizes

How do I run this code and see the visual output?

You can run this code in any Python environment, like Jupyter Notebook or an online Python compiler. Just copy and paste the code, and execute it to see the visual output of the N-Queens solutions.