


'''simple docstring'''






from __future__ import annotations

__A					:  Optional[Any]											=      list[list[int]]

# assigning initial values to the grid
__A					:  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
__A					:  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 				UpperCamelCase_			(    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 				UpperCamelCase_			(    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 				UpperCamelCase_			(    A__					:   Matrix					):
  '''simple docstring'''





  if location := find_empty_location(A__					):
    lowerCAmelCase_,							lowerCAmelCase_			:      str			=   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__					):
      lowerCAmelCase_			:      List[Any]			=   digit

      if sudoku(A__					) is not None:
        return grid

      lowerCAmelCase_			:      List[Any]			=   0

  return None







def 				UpperCamelCase_			(    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:")
    __A					:  Optional[int]											=      sudoku(example_grid)
    if solution is not None:
      print_solution(solution)
    else:
      print("Cannot find a solution.")







'''simple docstring'''






# Copyright 2023 The HuggingFace Team. All rights reserved.
#
# Licensed under the Apache License, Version 2.0 (the "License");
# you may not use this file except in compliance with the License.
# You may obtain a copy of the License at
#
#     http://www.apache.org/licenses/LICENSE-2.0
#
# Unless required by applicable law or agreed to in writing, software
# distributed under the License is distributed on an "AS IS" BASIS,
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
# See the License for the specific language governing permissions and
# limitations under the License.
from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_torch_available


__A					:  Dict											=      {"configuration_timm_backbone": ["TimmBackboneConfig"]}


try:
  if not is_torch_available():
    raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
  pass
else:
  __A					:  str											=      ["TimmBackbone"]


if TYPE_CHECKING:
  from .configuration_timm_backbone import TimmBackboneConfig

  try:
    if not is_torch_available():
      raise OptionalDependencyNotAvailable()
  except OptionalDependencyNotAvailable:
    pass
  else:
    from .modeling_timm_backbone import TimmBackbone

else:
  import sys

  __A					:  Dict											=      _LazyModule(__name__, globals()["__file__"], _import_structure, module_spec=__spec__)



