- 6th Apr 2023
- 21:07 pm

**Python Homework Help**

**Python Homework Question**

Python Logical Puzzles, Games, and Algorithms: Knight Tour

**Python Homework Solution**

Here's an example Python program for the Knight Tour problem using a backtracking algorithm:

class KnightTour:

def __init__(self, board_size):

self.board = [[0] * board_size for _ in range(board_size)]

self.moves = ((2, 1), (1, 2), (-1, 2), (-2, 1),

(-2, -1), (-1, -2), (1, -2), (2, -1))

def solve(self):

if self._solve(0, 0, 1):

self.print_board()

else:

print("No solution found.")

def _solve(self, row, col, move):

if move == len(self.board) ** 2 + 1:

return True

for m in self.moves:

next_row = row + m[0]

next_col = col + m[1]

if 0 <= next_row < len(self.board) and 0 <= next_col < len(self.board[0]) \

and self.board[next_row][next_col] == 0:

self.board[next_row][next_col] = move

if self._solve(next_row, next_col, move + 1):

return True

self.board[next_row][next_col] = 0

return False

def print_board(self):

for row in self.board:

for col in row:

print(str(col).rjust(2), end=' ')

print()

if __name__ == '__main__':

kt = KnightTour(5)

kt.solve()

This program creates a KnightTour class that contains a 2D array representing the chessboard and a set of moves that a knight can make. The solve method initializes the starting position of the knight and calls the _solve method to recursively check all possible moves until a solution is found or no moves are left. The _solve method uses backtracking to explore all possible moves and tries to find a solution. If a solution is found, the print_board method is called to print the chessboard with the knight's path.