


from __future__ import annotations

_UpperCAmelCase			:		List[str]   				=    list[list[int]]

# assigning initial values to the grid
_UpperCAmelCase			:		Matrix   				=    [
    [3, 0, 6, 5, 0, 8, 4, 0, 0],
    [5, 2, 0, 0, 0, 0, 0, 0, 0],
    [0, 8, 7, 0, 0, 0, 0, 3, 1],
    [0, 0, 3, 0, 1, 0, 0, 8, 0],
    [9, 0, 0, 8, 6, 3, 0, 0, 5],
    [0, 5, 0, 0, 9, 0, 6, 0, 0],
    [1, 3, 0, 0, 0, 0, 2, 5, 0],
    [0, 0, 0, 0, 0, 0, 0, 7, 4],
    [0, 0, 5, 2, 0, 6, 3, 0, 0],
]

# a grid with no solution
_UpperCAmelCase			:		Matrix   				=    [
    [5, 0, 6, 5, 0, 8, 4, 0, 3],
    [5, 2, 0, 0, 0, 0, 0, 0, 2],
    [1, 8, 7, 0, 0, 0, 0, 3, 1],
    [0, 0, 3, 0, 1, 0, 0, 8, 0],
    [9, 0, 0, 8, 6, 3, 0, 0, 5],
    [0, 5, 0, 0, 9, 0, 6, 0, 0],
    [1, 3, 0, 0, 0, 0, 2, 5, 0],
    [0, 0, 0, 0, 0, 0, 0, 7, 4],
    [0, 0, 5, 2, 0, 6, 3, 0, 0],
]





def 	lowerCAmelCase_		(lowercase__						:       Matrix     ,					lowercase__						:       int     ,					lowercase__						:       int     ,					lowercase__						:       int       )		->    bool:


				'''simple docstring'''




				for i in range(9       ):
								if grid[row][i] == n or grid[i][column] == n:
												return False

				for i in range(3       ):
								for j in range(3       ):
												if grid[(row - row % 3) + i][(column - column % 3) + j] == n:
																return False

				return True





def 	lowerCAmelCase_		(lowercase__						:       Matrix       )		->    tuple[int, int] | None:


				'''simple docstring'''




				for i in range(9       ):
								for j in range(9       ):
												if grid[i][j] == 0:
																return i, j
				return None





def 	lowerCAmelCase_		(lowercase__						:       Matrix       )		->    Matrix | None:


				'''simple docstring'''




				if location := find_empty_location(lowercase__       ):
								lowerCAmelCase__			,		lowerCAmelCase__      			=						location
				else:
								# If the location is ``None``, then the grid is solved.
								return grid

				for digit in range(1     ,					10       ):
								if is_safe(lowercase__     ,					lowercase__     ,					lowercase__     ,					lowercase__       ):
												lowerCAmelCase__      			=						digit

												if sudoku(lowercase__       ) is not None:
																return grid

												lowerCAmelCase__      			=						0

				return None





def 	lowerCAmelCase_		(lowercase__						:       Matrix       )		->    None:


				'''simple docstring'''




				for row in grid:
								for cell in row:
												print(lowercase__     ,					end=''' '''       )
								print()


if __name__ == "__main__":
			# make a copy of grid so that you can compare with the unmodified grid
			for example_grid in (initial_grid, no_solution):
						print("\nExample grid:\n" + "=" * 20)
						print_solution(example_grid)
						print("\nExample grid solution:")
						_UpperCAmelCase			:		Dict   				=    sudoku(example_grid)
						if solution is not None:
									print_solution(solution)
						else:
									print("Cannot find a solution.")













import doctest
import logging
import os
import unittest
from pathlib import Path
from typing import List, Union

import transformers
from transformers.testing_utils import require_tf, require_torch, slow


_UpperCAmelCase			:		List[Any]   				=    logging.getLogger()
@unittest.skip('Temporarily disable the doc tests.'					)
@require_torch
@require_tf
@slow
class  lowerCAmelCase_       (				unittest.TestCase					):




							def 						__snake_case					(   self     :   Tuple ,							SCREAMING_SNAKE_CASE_     :   Path ,							SCREAMING_SNAKE_CASE_     :   Union[str, None] = None ,							SCREAMING_SNAKE_CASE_     :   Union[List[str], None] = None ,							SCREAMING_SNAKE_CASE_     :   Union[str, List[str], None] = None ,							SCREAMING_SNAKE_CASE_     :   bool = True ,							):
											lowerCAmelCase__      			=						[file for file in os.listdir(SCREAMING_SNAKE_CASE_	) if os.path.isfile(os.path.join(SCREAMING_SNAKE_CASE_ ,							SCREAMING_SNAKE_CASE_	)	)]

											if identifier is not None:
															lowerCAmelCase__      			=						[file for file in files if identifier in file]

											if n_identifier is not None:
															if isinstance(SCREAMING_SNAKE_CASE_ ,							SCREAMING_SNAKE_CASE_	):
																			for n_ in n_identifier:
																							lowerCAmelCase__      			=						[file for file in files if n_ not in file]
															else:
																			lowerCAmelCase__      			=						[file for file in files if n_identifier not in file]

											lowerCAmelCase__      			=						ignore_files or []
											ignore_files.append('''__init__.py'''	)
											lowerCAmelCase__      			=						[file for file in files if file not in ignore_files]

											for file in files:
															# Open all files
															print('''Testing''' ,							SCREAMING_SNAKE_CASE_	)

															if only_modules:
																			lowerCAmelCase__      			=						file.split('''.'''	)[0]
																			try:
																							lowerCAmelCase__      			=						getattr(SCREAMING_SNAKE_CASE_ ,							SCREAMING_SNAKE_CASE_	)
																							lowerCAmelCase__      			=						doctest.DocTestSuite(SCREAMING_SNAKE_CASE_	)
																							lowerCAmelCase__      			=						unittest.TextTestRunner().run(SCREAMING_SNAKE_CASE_	)
																							self.assertIs(len(result.failures	) ,							0	)
																			except AttributeError:
																							logger.info(f'{module_identifier} is not a module.'	)
															else:
																			lowerCAmelCase__      			=						doctest.testfile(str('''..''' / directory / file	) ,							optionflags=doctest.ELLIPSIS	)
																			self.assertIs(result.failed ,							0	)




							def 						__snake_case					(   self     :   Optional[Any]	):
											lowerCAmelCase__      			=						Path('''src/transformers'''	)
											lowerCAmelCase__      			=						'''modeling'''
											lowerCAmelCase__      			=						[
											    '''modeling_ctrl.py''',
											    '''modeling_tf_ctrl.py''',
											]
											self.analyze_directory(SCREAMING_SNAKE_CASE_ ,							identifier=SCREAMING_SNAKE_CASE_ ,							ignore_files=SCREAMING_SNAKE_CASE_	)




							def 						__snake_case					(   self     :   Dict	):
											lowerCAmelCase__      			=						Path('''src/transformers'''	)
											lowerCAmelCase__      			=						'''tokenization'''
											self.analyze_directory(SCREAMING_SNAKE_CASE_ ,							identifier=SCREAMING_SNAKE_CASE_	)




							def 						__snake_case					(   self     :   Tuple	):
											lowerCAmelCase__      			=						Path('''src/transformers'''	)
											lowerCAmelCase__      			=						'''configuration'''
											self.analyze_directory(SCREAMING_SNAKE_CASE_ ,							identifier=SCREAMING_SNAKE_CASE_	)




							def 						__snake_case					(   self     :   Optional[Any]	):
											lowerCAmelCase__      			=						Path('''src/transformers'''	)
											lowerCAmelCase__      			=						['''configuration''', '''modeling''', '''tokenization''']
											self.analyze_directory(SCREAMING_SNAKE_CASE_ ,							n_identifier=SCREAMING_SNAKE_CASE_	)




							def 						__snake_case					(   self     :   Tuple	):
											lowerCAmelCase__      			=						Path('''docs/source'''	)
											lowerCAmelCase__      			=						['''favicon.ico''']
											self.analyze_directory(SCREAMING_SNAKE_CASE_ ,							ignore_files=SCREAMING_SNAKE_CASE_ ,							only_modules=SCREAMING_SNAKE_CASE_	)





