


'''simple docstring'''



from __future__ import annotations

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

# assigning initial values to the grid
_lowercase      :      Union[str, Any]            =					[
    [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
_lowercase      :      int            =					[
    [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__				(	A       :      Matrix				,       A       :      int				,       A       :      int				,       A       :      int					):




						'''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__				(	A       :      Matrix					):




						'''simple docstring'''






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


def 				lowerCamelCase__				(	A       :      Matrix					):




						'''simple docstring'''






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

						for digit in range(1				,       10					):
												if is_safe(A__				,       A__				,       A__				,       A__					):
																		UpperCAmelCase					    =     digit

																		if sudoku(A__					) is not None:
																								return grid

																		UpperCAmelCase					    =     0

						return None


def 				lowerCamelCase__				(	A       :      Matrix					):




						'''simple docstring'''






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









'''simple docstring'''



from ...configuration_utils import PretrainedConfig
from ...utils import logging


_lowercase      :      int            =					logging.get_logger(__name__)

_lowercase      :      Optional[Any]            =					{"""openai-gpt""": """https://huggingface.co/openai-gpt/resolve/main/config.json"""}






class 	UpperCamelCase__(       lowerCAmelCase	):
				__magic_name__    :				Union[str, Any]  		=	"openai-gpt"
				__magic_name__    :				Optional[int]  		=	{
				    "max_position_embeddings": "n_positions",
				    "hidden_size": "n_embd",
				    "num_attention_heads": "n_head",
				    "num_hidden_layers": "n_layer",
				}




				def __init__(		self      :			Optional[int]				,   lowerCAmelCase      :			Optional[Any]=40478				,   lowerCAmelCase      :			str=512				,   lowerCAmelCase      :			List[Any]=768				,   lowerCAmelCase      :			Tuple=12				,   lowerCAmelCase      :			int=12				,   lowerCAmelCase      :			List[str]="gelu"				,   lowerCAmelCase      :			List[str]=0.1				,   lowerCAmelCase      :			List[Any]=0.1				,   lowerCAmelCase      :			Dict=0.1				,   lowerCAmelCase      :			Tuple=1E-5				,   lowerCAmelCase      :			Tuple=0.02				,   lowerCAmelCase      :			Optional[int]="cls_index"				,   lowerCAmelCase      :			Dict=True				,   lowerCAmelCase      :			Optional[int]=None				,   lowerCAmelCase      :			Dict=True				,   lowerCAmelCase      :			int=0.1				,   **lowerCAmelCase      :			Optional[int]				,   )->					str:

										"""simple docstring"""




										UpperCAmelCase					    =     vocab_size
										UpperCAmelCase					    =     n_positions
										UpperCAmelCase					    =     n_embd
										UpperCAmelCase					    =     n_layer
										UpperCAmelCase					    =     n_head
										UpperCAmelCase					    =     afn
										UpperCAmelCase					    =     resid_pdrop
										UpperCAmelCase					    =     embd_pdrop
										UpperCAmelCase					    =     attn_pdrop
										UpperCAmelCase					    =     layer_norm_epsilon
										UpperCAmelCase					    =     initializer_range
										UpperCAmelCase					    =     summary_type
										UpperCAmelCase					    =     summary_use_proj
										UpperCAmelCase					    =     summary_activation
										UpperCAmelCase					    =     summary_first_dropout
										UpperCAmelCase					    =     summary_proj_to_labels
										super().__init__(**lowerCAmelCase				)





