Created
June 9, 2020 17:54
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| class SudokuSolver: | |
| # Initializing required variables and validate board | |
| def __init__(self, board, boardSize=9, boxSize=3): | |
| self.boardSize = boardSize | |
| self.boxSize = boxSize | |
| self.board = board | |
| self.__validateBoard__() | |
| # Validate if the board is of the proper format else throw an exception | |
| def __validateBoard__(self): | |
| if len(self.board) != self.boardSize: | |
| message = "Incorrect board size: len(board)=" + \ | |
| str(len(self.board)) | |
| raise Exception(message) | |
| for i in range(len(self.board)): | |
| if len(self.board[i]) != self.boardSize: | |
| message = "Incorrect board size: len(board["+str(i) + "]) = " + str( | |
| len(self.board[i])) | |
| raise Exception(message) | |
| # Check if the number num is valid for given position row, column | |
| def isValid(self, row, column, num): | |
| for j in range(self.boardSize): | |
| if self.board[row][j] == num and j != column: | |
| return False | |
| for i in range(self.boardSize): | |
| if self.board[i][column] == num and i != row: | |
| return False | |
| alpha = (row // self.boxSize)*self.boxSize | |
| beta = (column // self.boxSize)*self.boxSize | |
| for i in range(alpha, alpha + self.boxSize): | |
| for j in range(beta, beta + self.boxSize): | |
| if self.board[i][j] == num and (i != row and j != column): | |
| return False | |
| return True | |
| # Internal function to solve the board | |
| def __solve__(self): | |
| for i in range(self.boardSize): | |
| for j in range(self.boardSize): | |
| if self.board[i][j] == 0: | |
| for num in range(1, self.boardSize + 1): | |
| if self.isValid(i, j, num): | |
| self.board[i][j] = num | |
| if (self.__solve__()): | |
| return True | |
| self.board[i][j] = 0 | |
| return False | |
| return True | |
| # Verify that the board is solved | |
| def verifyBoard(self): | |
| for i in range(self.boardSize): | |
| for j in range(self.boardSize): | |
| num = self.board[i][j] | |
| if not self.isValid(i, j, num): | |
| return False | |
| return True | |
| # function called by the user to solve the board | |
| def solve(self): | |
| isSolved = self.__solve__() and self.verifyBoard() | |
| if not isSolved: | |
| raise Exception("Cannot solve the sudoku board") | |
| return self.board | |
| def getBoard(self): | |
| return self.board | |
| def printBoard(self, formatted = False): | |
| if formatted: | |
| print ("-"*19) | |
| for i in self.board: | |
| line = "|" | |
| for j in i: | |
| line += str(j) + "|" | |
| print (line) | |
| print ("-"*19) | |
| else: | |
| for i in self.board: | |
| print (i) |
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