


'''simple docstring'''




import inspect
import warnings
from typing import Any, Dict, Optional, Union

from packaging import version





def 	a_					( *lowerCamelCase	:     Optional[Any]	, lowerCamelCase	:     Optional[Union[Dict, Any]] = None	, lowerCamelCase	:     List[str]=True	, lowerCamelCase	:     List[str]=2				):
   from .. import __version__

   lowerCAmelCase     =			take_from
   lowerCAmelCase     =			()
   if not isinstance(args[0]	, lowerCamelCase				):
      lowerCAmelCase     =			(args,)

   for attribute, version_name, message in args:
      if version.parse(version.parse(lowerCamelCase				).base_version				) >= version.parse(lowerCamelCase				):
         raise ValueError(
             f'''The deprecation tuple {(attribute, version_name, message)} should be removed since diffusers\''''
             f''' version {__version__} is >= {version_name}'''				)

      lowerCAmelCase     =			None
      if isinstance(lowerCamelCase	, lowerCamelCase				) and attribute in deprecated_kwargs:
         values += (deprecated_kwargs.pop(lowerCamelCase				),)
         lowerCAmelCase     =			f'''The `{attribute}` argument is deprecated and will be removed in version {version_name}.'''
      elif hasattr(lowerCamelCase	, lowerCamelCase				):
         values += (getattr(lowerCamelCase	, lowerCamelCase				),)
         lowerCAmelCase     =			f'''The `{attribute}` attribute is deprecated and will be removed in version {version_name}.'''
      elif deprecated_kwargs is None:
         lowerCAmelCase     =			f'''`{attribute}` is deprecated and will be removed in version {version_name}.'''

      if warning is not None:
         lowerCAmelCase     =			warning + ' ' if standard_warn else ''
         warnings.warn(warning + message	, lowerCamelCase	, stacklevel=lowerCamelCase				)

   if isinstance(lowerCamelCase	, lowerCamelCase				) and len(lowerCamelCase				) > 0:
      lowerCAmelCase     =			inspect.getouterframes(inspect.currentframe()				)[1]
      lowerCAmelCase     =			call_frame.filename
      lowerCAmelCase     =			call_frame.lineno
      lowerCAmelCase     =			call_frame.function
      lowerCAmelCase     ,  lowerCAmelCase     =			next(iter(deprecated_kwargs.items()				)				)
      raise TypeError(f'''{function} in {filename} line {line_number-1} got an unexpected keyword argument `{key}`'''				)

   if len(lowerCamelCase				) == 0:
      return
   elif len(lowerCamelCase				) == 1:
      return values[0]
   return values













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 						_a    (      a :Matrix	,							a :int	,							a :int	,							a :int )							->			bool:
 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 						_a    (      a :Matrix )							->			tuple[int, int] | None:
 for i in range(9 ):
  for j in range(9 ):
   if grid[i][j] == 0:
    return i, j
 return None
def 						_a    (      a :Matrix )							->			Matrix | None:
 if location := find_empty_location(a ):
  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(a	,							a	,							a	,							a ):
   a		  =      digit

   if sudoku(a ) is not None:
    return grid

   a		  =      0

 return None
def 						_a    (      a :Matrix )							->			None:
 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:")
          UpperCAmelCase__				   =		sudoku(example_grid)
          if solution is not None:
               print_solution(solution)
          else:
               print("Cannot find a solution.")


