



from __future__ import annotations







def     A__   (  lowerCamelCase       ,      lowerCamelCase  )					->		int:
				UpperCamelCase_:							List[str]		=  position
				UpperCamelCase_:							Tuple		=  [
				    (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),
				]
				UpperCamelCase_:							Tuple		=  []

				for position in positions:
								UpperCamelCase_:							Dict		=  position
								if 0 <= y_test < n and 0 <= x_test < n:
												permissible_positions.append(lowerCamelCase  )

				return permissible_positions







def     A__   (  lowerCamelCase  )					->		List[str]:
				return not any(elem == 0 for row in board for elem in row  )







def     A__   (  lowerCamelCase       ,      lowerCamelCase       ,      lowerCamelCase  )					->		Optional[int]:

				if is_complete(lowerCamelCase  ):
								return True

				for position in get_valid_pos(lowerCamelCase       ,      len(lowerCamelCase  )  ):
								UpperCamelCase_:							str		=  position

								if board[y][x] == 0:
												UpperCamelCase_:							Optional[Any]		=  curr + 1
												if open_knight_tour_helper(lowerCamelCase       ,      lowerCamelCase       ,      curr + 1  ):
																return True
												UpperCamelCase_:							List[str]		=  0

				return False







def     A__   (  lowerCamelCase  )					->		Optional[int]:
				UpperCamelCase_:							Any		=  [[0 for i in range(lowerCamelCase  )] for j in range(lowerCamelCase  )]

				for i in range(lowerCamelCase  ):
								for j in range(lowerCamelCase  ):
												UpperCamelCase_:							int		=  1
												if open_knight_tour_helper(lowerCamelCase       ,      (i, j)       ,      1  ):
																return board
												UpperCamelCase_:							Optional[int]		=  0

				UpperCamelCase_:							str		=  F'''Open Kight Tour cannot be performed on a board of size {n}'''
				raise ValueError(lowerCamelCase  )


if __name__ == "__main__":
							import doctest

							doctest.testmod()








import io
import itertools
import json
from dataclasses import dataclass
from typing import Optional

import pyarrow as pa
import pyarrow.json as paj

import datasets
from datasets.table import table_cast
from datasets.utils.file_utils import readline


lowerCamelCase_  :	Optional[Any] 				=					datasets.utils.logging.get_logger(__name__)

@dataclass
class     _UpperCamelCase			(   datasets.BuilderConfig					):






			'''simple docstring'''

			__UpperCamelCase :  Optional[datasets.Features]    =	None
			__UpperCamelCase :  str    =	"utf-8"
			__UpperCamelCase :  Optional[str]    =	None
			__UpperCamelCase :  Optional[str]    =	None
			__UpperCamelCase :  bool    =	True  # deprecated
			__UpperCamelCase :  Optional[int]    =	None  # deprecated
			__UpperCamelCase :  int    =	10 << 20  # 10MB
			__UpperCamelCase :  Optional[bool]    =	None




class     _UpperCamelCase			(   datasets.ArrowBasedBuilder					):






			'''simple docstring'''

			__UpperCamelCase :  Tuple    =	JsonConfig

			def  lowerCAmelCase__		(    self	:    int ):
							if self.config.block_size is not None:
											logger.warning("""The JSON loader parameter `block_size` is deprecated. Please use `chunksize` instead""" )
											UpperCamelCase_:							List[str]		=  self.config.block_size
							if self.config.use_threads is not True:
											logger.warning(
											    """The JSON loader parameter `use_threads` is deprecated and doesn't have any effect anymore.""" )
							if self.config.newlines_in_values is not None:
											raise ValueError("""The JSON loader parameter `newlines_in_values` is no longer supported""" )
							return datasets.DatasetInfo(features=self.config.features )

			def  lowerCAmelCase__		(    self	:    Dict  ,		snake_case_	:    str ):
							if not self.config.data_files:
											raise ValueError(f'''At least one data file must be specified, but got data_files={self.config.data_files}''' )
							UpperCamelCase_:							Dict		=  dl_manager.download_and_extract(self.config.data_files )
							if isinstance(snake_case_  ,		(str, list, tuple) ):
											UpperCamelCase_:							List[Any]		=  data_files
											if isinstance(snake_case_  ,		snake_case_ ):
															UpperCamelCase_:							str		=  [files]
											UpperCamelCase_:							Any		=  [dl_manager.iter_files(snake_case_ ) for file in files]
											return [datasets.SplitGenerator(name=datasets.Split.TRAIN  ,		gen_kwargs={"""files""": files} )]
							UpperCamelCase_:							Dict		=  []
							for split_name, files in data_files.items():
											if isinstance(snake_case_  ,		snake_case_ ):
															UpperCamelCase_:							Tuple		=  [files]
											UpperCamelCase_:							Optional[int]		=  [dl_manager.iter_files(snake_case_ ) for file in files]
											splits.append(datasets.SplitGenerator(name=snake_case_  ,		gen_kwargs={"""files""": files} ) )
							return splits

			def  lowerCAmelCase__		(    self	:    str  ,		snake_case_	:    pa.Table ):
							if self.config.features is not None:
											# adding missing columns
											for column_name in set(self.config.features ) - set(pa_table.column_names ):
															UpperCamelCase_:							Union[str, Any]		=  self.config.features.arrow_schema.field(snake_case_ ).type
															UpperCamelCase_:							Tuple		=  pa_table.append_column(snake_case_  ,		pa.array([None] * len(snake_case_ )  ,		type=snake_case_ ) )
											# more expensive cast to support nested structures with keys in a different order
											# allows str <-> int/float or str to Audio for example
											UpperCamelCase_:							int		=  table_cast(snake_case_  ,		self.config.features.arrow_schema )
							return pa_table




			def  lowerCAmelCase__		(    self	:    Dict  ,		snake_case_	:    Optional[Any] ):
							for file_idx, file in enumerate(itertools.chain.from_iterable(snake_case_ ) ):
											# If the file is one json object and if we need to look at the list of items in one specific field
											if self.config.field is not None:
															with open(snake_case_  ,		encoding=self.config.encoding  ,		errors=self.config.encoding_errors ) as f:
																			UpperCamelCase_:							Dict		=  json.load(snake_case_ )

															# We keep only the field we are interested in
															UpperCamelCase_:							Optional[int]		=  dataset[self.config.field]

															# We accept two format: a list of dicts or a dict of lists
															if isinstance(snake_case_  ,		(list, tuple) ):
																			UpperCamelCase_:							Optional[int]		=  set().union(*[row.keys() for row in dataset] )
																			UpperCamelCase_:							int		=  {col: [row.get(snake_case_ ) for row in dataset] for col in keys}
															else:
																			UpperCamelCase_:							Optional[int]		=  dataset
															UpperCamelCase_:							List[str]		=  pa.Table.from_pydict(snake_case_ )
															yield file_idx, self._cast_table(snake_case_ )

											# If the file has one json object per line
											else:
															with open(snake_case_  ,		"""rb""" ) as f:
																			UpperCamelCase_:							Optional[int]		=  0
																			# Use block_size equal to the chunk size divided by 32 to leverage multithreading
																			# Set a default minimum value of 16kB if the chunk size is really small
																			UpperCamelCase_:							Optional[int]		=  max(self.config.chunksize // 32  ,		16 << 10 )
																			UpperCamelCase_:							Tuple		=  (
																			    self.config.encoding_errors if self.config.encoding_errors is not None else """strict"""
																			)
																			while True:
																							UpperCamelCase_:							int		=  f.read(self.config.chunksize )
																							if not batch:
																											break
																							# Finish current line
																							try:
																											batch += f.readline()
																							except (AttributeError, io.UnsupportedOperation):
																											batch += readline(snake_case_ )
																							# PyArrow only accepts utf-8 encoded bytes
																							if self.config.encoding != "utf-8":
																											UpperCamelCase_:							Tuple		=  batch.decode(self.config.encoding  ,		errors=snake_case_ ).encode("""utf-8""" )
																							try:
																											while True:
																															try:
																																			UpperCamelCase_:							Tuple		=  paj.read_json(
																																			    io.BytesIO(snake_case_ )  ,		read_options=paj.ReadOptions(block_size=snake_case_ ) )
																																			break
																															except (pa.ArrowInvalid, pa.ArrowNotImplementedError) as e:
																																			if (
																																			    isinstance(snake_case_  ,		pa.ArrowInvalid )
																																			    and "straddling" not in str(snake_case_ )
																																			    or block_size > len(snake_case_ )
																																			):
																																							raise
																																			else:
																																							# Increase the block size in case it was too small.
																																							# The block size will be reset for the next file.
																																							logger.debug(
																																							    f'''Batch of {len(snake_case_ )} bytes couldn\'t be parsed with block_size={block_size}. Retrying with block_size={block_size * 2}.''' )
																																							block_size *= 2
																							except pa.ArrowInvalid as e:
																											try:
																															with open(
																															    snake_case_  ,		encoding=self.config.encoding  ,		errors=self.config.encoding_errors ) as f:
																																			UpperCamelCase_:							Optional[Any]		=  json.load(snake_case_ )
																											except json.JSONDecodeError:
																															logger.error(f'''Failed to read file \'{file}\' with error {type(snake_case_ )}: {e}''' )
																															raise e
																											# If possible, parse the file as a list of json objects and exit the loop
																											if isinstance(snake_case_  ,		snake_case_ ):  # list is the only sequence type supported in JSON
																															try:
																																			UpperCamelCase_:							Any		=  set().union(*[row.keys() for row in dataset] )
																																			UpperCamelCase_:							List[str]		=  {col: [row.get(snake_case_ ) for row in dataset] for col in keys}
																																			UpperCamelCase_:							int		=  pa.Table.from_pydict(snake_case_ )
																															except (pa.ArrowInvalid, AttributeError) as e:
																																			logger.error(f'''Failed to read file \'{file}\' with error {type(snake_case_ )}: {e}''' )
																																			raise ValueError(f'''Not able to read records in the JSON file at {file}.''' ) from None
																															yield file_idx, self._cast_table(snake_case_ )
																															break
																											else:
																															logger.error(f'''Failed to read file \'{file}\' with error {type(snake_case_ )}: {e}''' )
																															raise ValueError(
																															    f'''Not able to read records in the JSON file at {file}. '''
																															    f'''You should probably indicate the field of the JSON file containing your records. '''
																															    f'''This JSON file contain the following fields: {str(list(dataset.keys() ) )}. '''
																															    f'''Select the correct one and provide it as `field=\'XXX\'` to the dataset loading method. ''' ) from None
                        # Uncomment for debugging (will print the Arrow table size and elements)
                        # logger.warning(f"pa_table: {pa_table} num rows: {pa_table.num_rows}")
                        # logger.warning('\n'.join(str(pa_table.slice(i, 1).to_pydict()) for i in range(pa_table.num_rows)))
																							yield (file_idx, batch_idx), self._cast_table(snake_case_ )
																							batch_idx += 1






