




'''simple docstring'''


from __future__ import annotations

UpperCAmelCase_ 		=      list[list[int]]

# assigning initial values to the grid
UpperCAmelCase_ 		=      [
    [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_ 		=      [
    [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       (      a_	:							Matrix				,					a_	:							int				,					a_	:							int				,					a_	:							int			):
		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       (      a_	:							Matrix			):
		for i in range(9			):
				for j in range(9			):
						if grid[i][j] == 0:
								return i, j
		return None


def 						SCREAMING_SNAKE_CASE       (      a_	:							Matrix			):
		if location := find_empty_location(_lowerCamelCase			):
				__a	,       __a			=					location
		else:
				# If the location is ``None``, then the grid is solved.
				return grid

		for digit in range(1				,					10			):
				if is_safe(_lowerCamelCase				,					_lowerCamelCase				,					_lowerCamelCase				,					_lowerCamelCase			):
						__a			=					digit

						if sudoku(_lowerCamelCase			) is not None:
								return grid

						__a			=					0

		return None


def 						SCREAMING_SNAKE_CASE       (      a_	:							Matrix			):
		for row in grid:
				for cell in row:
						print(_lowerCamelCase				,					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_ 		=      sudoku(example_grid)
				if solution is not None:
						print_solution(solution)
				else:
						print("Cannot find a solution.")









'''simple docstring'''


from ..utils import DummyObject, requires_backends





class    __lowercase						(  metaclass=__magic_name__ ):
   _a							=      ["""onnx"""]







   def __init__(	self      ,							*UpperCamelCase      ,							**UpperCamelCase      )				->    str:
     requires_backends(self      ,							['onnx']      )







   @classmethod
   def 		UpperCamelCase__			(	cls      ,							*UpperCamelCase      ,							**UpperCamelCase      )				->    Tuple:
     requires_backends(cls      ,							['onnx']      )







   @classmethod
   def 		UpperCamelCase__			(	cls      ,							*UpperCamelCase      ,							**UpperCamelCase      )				->    Tuple:
     requires_backends(cls      ,							['onnx']      )



