




from __future__ import annotations

lowerCamelCase       :	List[str]									=     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    (							lowercase			: Matrix			,							lowercase			: int			,							lowercase			: int			,							lowercase			: 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    (							lowercase			: 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    (							lowercase			: Matrix  ):


      '''simple docstring'''



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

      for digit in range(1			,							10  ):
            if is_safe(lowercase			,							lowercase			,							lowercase			,							lowercase  ):
                  lowerCamelCase_	  =					digit

                  if sudoku(lowercase  ) is not None:
                        return grid

                  lowerCamelCase_	  =					0

      return None

def     _SCREAMING_SNAKE_CASE    (							lowercase			: Matrix  ):


      '''simple docstring'''



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









from dataclasses import dataclass, field
from typing import ClassVar, Dict

from ..features import Features, Value
from .base import TaskTemplate







@dataclass(frozen=UpperCamelCase     )
class 						A(		UpperCamelCase     ):



 '''simple docstring'''


 UpperCamelCase		     =		field(default='''language-modeling'''							,   metadata={'''include_in_asdict_even_if_is_default''': True}     )

 UpperCamelCase		     =		Features({'''text''': Value('''string'''     )}     )
 UpperCamelCase		     =		Features({}     )
 UpperCamelCase		     =		"text"

 @property
 def        a__				(       self      :						List[Any]						)     ->			Dict[str, str]:

       """simple docstring"""






       return {self.text_column: "text"}



