

"""simple docstring"""






import unittest

from transformers import is_torch_available
from transformers.testing_utils import require_torch


if is_torch_available():
 import torch

 from transformers.generation import DisjunctiveConstraint







@require_torch
class       snake_case__  ( unittest.TestCase     ):







   def 			__lowerCAmelCase				(			self			: int  ):





        '''simple docstring'''



        UpperCAmelCase			:   List[Any]      =				[[1, 2, 4], [1, 2, 3, 4]]
        UpperCAmelCase			:   int      =				DisjunctiveConstraint(lowercase  )
        self.assertTrue(isinstance(dc.token_ids			,  lowercase  )  )

        with self.assertRaises(lowercase  ):
             DisjunctiveConstraint(torch.LongTensor([[1, 2, 4], [1, 2, 3]]  )  )

        with self.assertRaises(lowercase  ):
             DisjunctiveConstraint([torch.LongTensor([1, 2, 4]  ), torch.LongTensor([1, 2, 3, 4, 5]  )]  )







   def 			__lowerCAmelCase				(			self			: List[Any]  ):





        '''simple docstring'''



        UpperCAmelCase			:   Union[str, Any]      =				[[1, 2], [1, 2, 3, 4]]

        with self.assertRaises(lowercase  ):
             DisjunctiveConstraint(lowercase  )  # fails here







   def 			__lowerCAmelCase				(			self			: Dict  ):





        '''simple docstring'''



        UpperCAmelCase			:   str      =				[[1, 2, 3], [1, 2, 4]]

        UpperCAmelCase			:   str      =				DisjunctiveConstraint(lowercase  )

        UpperCAmelCase			:   Tuple      =				dc.update(1  )
        UpperCAmelCase			:   List[str]      =				stepped is True and completed is False and reset is False
        self.assertTrue(lowercase  )
        self.assertTrue(not dc.completed  )
        self.assertTrue(dc.current_seq == [1]  )

        UpperCAmelCase			:   Optional[int]      =				dc.update(2  )
        UpperCAmelCase			:   List[Any]      =				stepped is True and completed is False and reset is False
        self.assertTrue(lowercase  )
        self.assertTrue(not dc.completed  )
        self.assertTrue(dc.current_seq == [1, 2]  )

        UpperCAmelCase			:   Optional[Any]      =				dc.update(3  )
        UpperCAmelCase			:   int      =				stepped is True and completed is True and reset is False
        self.assertTrue(lowercase  )
        self.assertTrue(dc.completed  )  # Completed!
        self.assertTrue(dc.current_seq == [1, 2, 3]  )







   def 			__lowerCAmelCase				(			self			: int  ):





        '''simple docstring'''



        UpperCAmelCase			:   Optional[Any]      =				[[1, 2, 3], [1, 2, 4, 5], [1, 2, 5]]

        UpperCAmelCase			:   str      =				DisjunctiveConstraint(lowercase  )

        UpperCAmelCase			:   Tuple      =				dc.update(1  )
        self.assertTrue(not dc.completed  )
        self.assertTrue(dc.current_seq == [1]  )

        UpperCAmelCase			:   Optional[Any]      =				dc.update(2  )
        self.assertTrue(not dc.completed  )
        self.assertTrue(dc.current_seq == [1, 2]  )

        UpperCAmelCase			:   int      =				dc.update(4  )
        self.assertTrue(not dc.completed  )
        self.assertTrue(dc.current_seq == [1, 2, 4]  )

        UpperCAmelCase			:   List[str]      =				dc.update(5  )
        self.assertTrue(dc.completed  )  # Completed!
        self.assertTrue(dc.current_seq == [1, 2, 4, 5]  )

        dc.reset()

        UpperCAmelCase			:   Dict      =				dc.update(1  )
        self.assertTrue(not dc.completed  )
        self.assertTrue(dc.remaining() == 3  )
        self.assertTrue(dc.current_seq == [1]  )

        UpperCAmelCase			:   List[Any]      =				dc.update(2  )
        self.assertTrue(not dc.completed  )
        self.assertTrue(dc.remaining() == 2  )
        self.assertTrue(dc.current_seq == [1, 2]  )

        UpperCAmelCase			:   Optional[int]      =				dc.update(5  )
        self.assertTrue(dc.completed  )  # Completed!
        self.assertTrue(dc.remaining() == 0  )
        self.assertTrue(dc.current_seq == [1, 2, 5]  )





"""simple docstring"""






from __future__ import annotations

snake_case_   :   str        =       list[list[int]]

# assigning initial values to the grid
snake_case_   :   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
snake_case_   :   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   lowercase_	(    _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   lowercase_	(    _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   lowercase_	(    _lowercase       :		Matrix	):




					'''simple docstring'''






					if location := find_empty_location(_lowercase	):
										UpperCAmelCase      ,							UpperCAmelCase			:   List[str]      =				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	):
															UpperCAmelCase			:   int      =				digit

															if sudoku(_lowercase	) is not None:
																				return grid

															UpperCAmelCase			:   Optional[Any]      =				0

					return None



def   lowercase_	(    _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""" + """=""" * 2_0)
		print_solution(example_grid)
		print("""\nExample grid solution:""")
		snake_case_   :   Dict        =       sudoku(example_grid)
		if solution is not None:
			print_solution(solution)
		else:
			print("""Cannot find a solution.""")


