




from __future__ import annotations

a													=			list[list[int]]

# assigning initial values to the grid
a													=			[
    [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
a													=			[
    [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        _SCREAMING_SNAKE_CASE      (		snake_case			,     snake_case			,     snake_case			,     snake_case       )						->				List[Any]:






						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        _SCREAMING_SNAKE_CASE      (		snake_case       )						->				Dict:






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




def        _SCREAMING_SNAKE_CASE      (		snake_case       )						->				Tuple:






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

						for digit in range(1			,     1_0       ):
												if is_safe(UpperCAmelCase__			,     UpperCAmelCase__			,     UpperCAmelCase__			,     UpperCAmelCase__       ):
																		_UpperCAmelCase      =			digit

																		if sudoku(UpperCAmelCase__       ) is not None:
																								return grid

																		_UpperCAmelCase      =			0

						return None




def        _SCREAMING_SNAKE_CASE      (		snake_case       )						->				str:






						for row in grid:
												for cell in row:
																		print(UpperCAmelCase__			,     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:")
								a													=			sudoku(example_grid)
								if solution is not None:
												print_solution(solution)
								else:
												print("Cannot find a solution.")





import os
import sys
import unittest


a													=			os.path.abspath(os.path.dirname(os.path.dirname(os.path.dirname(__file__))))
sys.path.append(os.path.join(git_repo_path, "utils"))

import check_dummies  # noqa: E402
from check_dummies import create_dummy_files, create_dummy_object, find_backend, read_init  # noqa: E402


# Align TRANSFORMERS_PATH in check_dummies with the current path
a													=			os.path.join(git_repo_path, "src", "transformers")

a													=			"\n{0} = None\n"

a													=			"\nclass {0}(metaclass=DummyObject):\n    _backends = {1}\n\n    def __init__(self, *args, **kwargs):\n        requires_backends(self, {1})\n"


a													=			"\ndef {0}(*args, **kwargs):\n    requires_backends({0}, {1})\n"




class       _A				(		unittest.TestCase     ):






		def 				UpperCAmelCase (    self			):
								_UpperCAmelCase      =			find_backend("""    _import_structure[\"models.albert\"].append(\"AlbertTokenizerFast\")"""			)
								self.assertIsNone(_SCREAMING_SNAKE_CASE			)

								_UpperCAmelCase      =			find_backend("""    if not is_tokenizers_available():"""			)
								self.assertEqual(_SCREAMING_SNAKE_CASE						,		"""tokenizers"""			)

								_UpperCAmelCase      =			find_backend("""    if not is_tensorflow_text_available():"""			)
								self.assertEqual(_SCREAMING_SNAKE_CASE						,		"""tensorflow_text"""			)

								_UpperCAmelCase      =			find_backend("""    if not (is_sentencepiece_available() and is_tokenizers_available()):"""			)
								self.assertEqual(_SCREAMING_SNAKE_CASE						,		"""sentencepiece_and_tokenizers"""			)

								_UpperCAmelCase      =			find_backend(
								    """    if not (is_sentencepiece_available() and is_tensorflow_text_available()):"""			)
								self.assertEqual(_SCREAMING_SNAKE_CASE						,		"""sentencepiece_and_tensorflow_text"""			)

								_UpperCAmelCase      =			find_backend(
								    """    if not (is_sentencepiece_available() and is_tokenizers_available() and is_vision_available()):"""			)
								self.assertEqual(_SCREAMING_SNAKE_CASE						,		"""sentencepiece_and_tokenizers_and_vision"""			)






		def 				UpperCAmelCase (    self			):
								_UpperCAmelCase      =			read_init()
								# We don't assert on the exact list of keys to allow for smooth grow of backend-specific objects
								self.assertIn("""torch"""						,		_SCREAMING_SNAKE_CASE			)
								self.assertIn("""tensorflow_text"""						,		_SCREAMING_SNAKE_CASE			)
								self.assertIn("""sentencepiece_and_tokenizers"""						,		_SCREAMING_SNAKE_CASE			)

								# Likewise, we can't assert on the exact content of a key
								self.assertIn("""BertModel"""						,		objects["""torch"""]			)
								self.assertIn("""TFBertModel"""						,		objects["""tf"""]			)
								self.assertIn("""FlaxBertModel"""						,		objects["""flax"""]			)
								self.assertIn("""BertModel"""						,		objects["""torch"""]			)
								self.assertIn("""TFBertTokenizer"""						,		objects["""tensorflow_text"""]			)
								self.assertIn("""convert_slow_tokenizer"""						,		objects["""sentencepiece_and_tokenizers"""]			)






		def 				UpperCAmelCase (    self			):
								_UpperCAmelCase      =			create_dummy_object("""CONSTANT"""						,		"""'torch'"""			)
								self.assertEqual(_SCREAMING_SNAKE_CASE						,		"""\nCONSTANT = None\n"""			)

								_UpperCAmelCase      =			create_dummy_object("""function"""						,		"""'torch'"""			)
								self.assertEqual(
								    _SCREAMING_SNAKE_CASE						,		"""\ndef function(*args, **kwargs):\n    requires_backends(function, 'torch')\n"""			)

								_UpperCAmelCase      =			"""
class FakeClass(metaclass=DummyObject):
    _backends = 'torch'

    def __init__(self, *args, **kwargs):
        requires_backends(self, 'torch')
"""
								_UpperCAmelCase      =			create_dummy_object("""FakeClass"""						,		"""'torch'"""			)
								self.assertEqual(_SCREAMING_SNAKE_CASE						,		_SCREAMING_SNAKE_CASE			)






		def 				UpperCAmelCase (    self			):
								_UpperCAmelCase      =			"""# This file is autogenerated by the command `make fix-copies`, do not edit.
from ..utils import DummyObject, requires_backends


CONSTANT = None


def function(*args, **kwargs):
    requires_backends(function, [\"torch\"])


class FakeClass(metaclass=DummyObject):
    _backends = [\"torch\"]

    def __init__(self, *args, **kwargs):
        requires_backends(self, [\"torch\"])
"""
								_UpperCAmelCase      =			create_dummy_files({"""torch""": ["""CONSTANT""", """function""", """FakeClass"""]}			)
								self.assertEqual(dummy_files["""torch"""]						,		_SCREAMING_SNAKE_CASE			)