




'''simple docstring'''


from __future__ import annotations

lowerCAmelCase_      :  Any				     =  list[list[int]]

# assigning initial values to the grid
lowerCAmelCase_      :  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
lowerCAmelCase_      :  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  _SCREAMING_SNAKE_CASE     (      UpperCamelCase__    :					Matrix ,    UpperCamelCase__    :					int ,    UpperCamelCase__    :					int ,    UpperCamelCase__    :					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  _SCREAMING_SNAKE_CASE     (      UpperCamelCase__    :					Matrix				):




     """simple docstring"""


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



def  _SCREAMING_SNAKE_CASE     (      UpperCamelCase__    :					Matrix				):




     """simple docstring"""


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

     for digit in range(1 ,    10				):
          if is_safe(UpperCamelCase__ ,    UpperCamelCase__ ,    UpperCamelCase__ ,    UpperCamelCase__				):
               a_     :							str     						=  digit

               if sudoku(UpperCamelCase__				) is not None:
                    return grid

               a_     :							Any     						=  0

     return None



def  _SCREAMING_SNAKE_CASE     (      UpperCamelCase__    :					Matrix				):




     """simple docstring"""


     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:')
  lowerCAmelCase_      :  List[str]				     =  sudoku(example_grid)
  if solution is not None:
   print_solution(solution)
  else:
   print('Cannot find a solution.')






'''simple docstring'''


from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_tokenizers_available, is_torch_available


lowerCAmelCase_      :  Dict				     =  {
    'configuration_graphormer': ['GRAPHORMER_PRETRAINED_CONFIG_ARCHIVE_MAP', 'GraphormerConfig'],
}

try:
 if not is_torch_available():
  raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
 pass
else:
 lowerCAmelCase_      :  int				     =  [
     'GRAPHORMER_PRETRAINED_MODEL_ARCHIVE_LIST',
     'GraphormerForGraphClassification',
     'GraphormerModel',
     'GraphormerPreTrainedModel',
 ]


if TYPE_CHECKING:
 from .configuration_graphormer import GRAPHORMER_PRETRAINED_CONFIG_ARCHIVE_MAP, GraphormerConfig

 try:
  if not is_torch_available():
   raise OptionalDependencyNotAvailable()
 except OptionalDependencyNotAvailable:
  pass
 else:
  from .modeling_graphormer import (
      GRAPHORMER_PRETRAINED_MODEL_ARCHIVE_LIST,
      GraphormerForGraphClassification,
      GraphormerModel,
      GraphormerPreTrainedModel,
  )


else:
 import sys

 lowerCAmelCase_      :  Tuple				     =  _LazyModule(__name__, globals()['__file__'], _import_structure, module_spec=__spec__)
