sudoku hidden singles method Use logical reasoning: Eliminate numbers that cannot be placed in a particular cell based on the existing numbers in the same row, column, or subgrid.
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sudoku hidden singles method 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. nyt games sudoku Conclusion Whether you're a beginner or an expert, a 3x3 Sudoku solver can be a valuable tool in your puzzle-solving arsenal. By identifying these patterns, you can eliminate numbers from the grid and make the puzzle more manageable. christmas sudoku