world's toughest 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.
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