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solve hard sudoku def is_valid(board, row, col, num): for x in range(9): if board[row][x] == num or board[x][col] == num: return False start_row, start_col = 3 * (row // 3), 3 * (col // 3) for i in range(3): for j in range(3): if board[i + start_row][j + start_col] == num: return False return True def solve_sudoku(board): for i in range(9): for j in range(9): if board[i][j] == 0: for num in range(1, 10): if is_valid(board, i, j, num): board[i][j] = num if solve_sudoku(board): return True board[i][j] = 0 return False return True Solving the Puzzle: Finally, we can integrate the functions to solve a given Sudoku puzzle. Hidden Pairs and Triples: Look for pairs or triples of numbers that can only occur in specific cells, allowing you to fill in the remaining cells in the row, column, or region. globe and mail sudokuhow to win sudoku expert Pencil Marks Pencil marking is a technique where you temporarily write in possible numbers in pencil.
