






'''simple docstring'''







from __future__ import annotations





def 		_UpperCAmelCase   (							__A							:   tuple[int, int]						,		__A							:   int      ):
				a_				,			a_		:  List[str]											=      position
				a_		:  Optional[int]											=      [
				    (y + 1, x + 2),
				    (y - 1, x + 2),
				    (y + 1, x - 2),
				    (y - 1, x - 2),
				    (y + 2, x + 1),
				    (y + 2, x - 1),
				    (y - 2, x + 1),
				    (y - 2, x - 1),
				]
				a_		:  Any											=      []

				for position in positions:
								a_				,			a_		:  Dict											=      position
								if 0 <= y_test < n and 0 <= x_test < n:
												permissible_positions.append(__A      )

				return permissible_positions





def 		_UpperCAmelCase   (							__A							:   list[list[int]]      ):
				return not any(elem == 0 for row in board for elem in row      )





def 		_UpperCAmelCase   (							__A							:   list[list[int]]						,		__A							:   tuple[int, int]						,		__A							:   int      ):

				if is_complete(__A      ):
								return True

				for position in get_valid_pos(__A						,		len(__A      )      ):
								a_				,			a_		:  Dict											=      position

								if board[y][x] == 0:
												a_		:  Optional[Any]											=      curr + 1
												if open_knight_tour_helper(__A						,		__A						,		curr + 1      ):
																return True
												a_		:  Tuple											=      0

				return False





def 		_UpperCAmelCase   (							__A							:   int      ):
				a_		:  List[str]											=      [[0 for i in range(__A      )] for j in range(__A      )]

				for i in range(__A      ):
								for j in range(__A      ):
												a_		:  Optional[Any]											=      1
												if open_knight_tour_helper(__A						,		(i, j)						,		1      ):
																return board
												a_		:  Union[str, Any]											=      0

				a_		:  Dict											=      f'Open Kight Tour cannot be performed on a board of size {n}'
				raise ValueError(__A      )


if __name__ == "__main__":
		import doctest

		doctest.testmod()












'''simple docstring'''







from dataclasses import dataclass, field
from typing import TYPE_CHECKING, Any, ClassVar, Dict, List, Optional, Union

import pyarrow as pa


if TYPE_CHECKING:
		from .features import FeatureType





@dataclass
class 	SCREAMING_SNAKE_CASE					:
			snake_case__  =				42
			snake_case__  =				None
			# Automatically constructed
			snake_case__  =				"dict"
			snake_case__  =				None
			snake_case__  =				field(default="Translation"	,   init=SCREAMING_SNAKE_CASE_	,   repr=SCREAMING_SNAKE_CASE_       )






			def __call__( self      :			Dict					)			->			Tuple:
							return pa.struct({lang: pa.string() for lang in sorted(self.languages					)}					)







			def 			SCREAMING_SNAKE_CASE      ( self      :			Union[str, Any]					)			->			Union["FeatureType", Dict[str, "FeatureType"]]:
							from .features import Value

							return {k: Value('''string'''					) for k in sorted(self.languages					)}





@dataclass
class 	SCREAMING_SNAKE_CASE					:
			snake_case__  =				None
			snake_case__  =				None
			snake_case__  =				None
			# Automatically constructed
			snake_case__  =				"dict"
			snake_case__  =				None
			snake_case__  =				field(default="TranslationVariableLanguages"	,   init=SCREAMING_SNAKE_CASE_	,   repr=SCREAMING_SNAKE_CASE_       )






			def 			SCREAMING_SNAKE_CASE      ( self      :			Tuple					)			->			Dict:
							a_		:  List[str]											=      sorted(set(self.languages					)					) if self.languages else None
							a_		:  Optional[Any]											=      len(self.languages					) if self.languages else None






			def __call__( self      :			Any					)			->			Optional[Any]:
							return pa.struct({'''language''': pa.list_(pa.string()					), '''translation''': pa.list_(pa.string()					)}					)






			def 			SCREAMING_SNAKE_CASE      ( self      :			Optional[int]  ,						__SCREAMING_SNAKE_CASE      :			Optional[Any]					)			->			Optional[Any]:
							a_		:  str											=      set(self.languages					)
							if self.languages and set(__SCREAMING_SNAKE_CASE					) - lang_set:
											raise ValueError(
											    f'Some languages in example ({", ".join(sorted(set(__SCREAMING_SNAKE_CASE					) - lang_set					)					)}) are not in valid set ({", ".join(__SCREAMING_SNAKE_CASE					)}).'					)

							# Convert dictionary into tuples, splitting out cases where there are
							# multiple translations for a single language.
							a_		:  int											=      []
							for lang, text in translation_dict.items():
											if isinstance(__SCREAMING_SNAKE_CASE  ,						__SCREAMING_SNAKE_CASE					):
															translation_tuples.append((lang, text)					)
											else:
															translation_tuples.extend([(lang, el) for el in text]					)

        # Ensure translations are in ascending order by language code.
							a_				,			a_		:  List[Any]											=      zip(*sorted(__SCREAMING_SNAKE_CASE					)					)

							return {"language": languages, "translation": translations}







			def 			SCREAMING_SNAKE_CASE      ( self      :			Any					)			->			Union["FeatureType", Dict[str, "FeatureType"]]:
							from .features import Sequence, Value

							return {
							    "language": Sequence(Value('''string'''					)					),
							    "translation": Sequence(Value('''string'''					)					),
							}




