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sudoku very hard print 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. sudoku 4x4 By understanding the basics, utilizing various strategies, and practicing regularly, you'll be well on your way to mastering the art of Sudoku. sudoku hidden pair This daily ritual has become a part of many Chicagoans' morning routine, a calming start to their day. Use advanced techniques: Employ techniques like "XY-Wing," "XYZ-Wing," and "Swordfish" to solve complex patterns. sudoku the daily mail
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