





from __future__ import annotations




def  lowerCAmelCase_ (							UpperCamelCase_					,		UpperCamelCase_  )     ->		tuple[int, int]:
       if b == 0:
              return (1, 0)
       ((UpperCamelCase_)       , (UpperCamelCase_))          =  extended_euclid(UpperCamelCase_					,		a % b  )
       UpperCamelCase_          =  a // b
       return (y, x - k * y)




def  lowerCAmelCase_ (							UpperCamelCase_					,		UpperCamelCase_					,		UpperCamelCase_					,		UpperCamelCase_  )     ->		int:
       ((UpperCamelCase_)       , (UpperCamelCase_))          =  extended_euclid(UpperCamelCase_					,		UpperCamelCase_  )
       UpperCamelCase_          =  na * na
       UpperCamelCase_          =  ra * x * na + ra * y * na
       return (n % m + m) % m




def  lowerCAmelCase_ (							UpperCamelCase_					,		UpperCamelCase_  )     ->		int:
       ((UpperCamelCase_)       , (UpperCamelCase_))          =  extended_euclid(UpperCamelCase_					,		UpperCamelCase_  )
       if b < 0:
              UpperCamelCase_          =  (b % n + n) % n
       return b




def  lowerCAmelCase_ (							UpperCamelCase_					,		UpperCamelCase_					,		UpperCamelCase_					,		UpperCamelCase_  )     ->		int:
       UpperCamelCase_       , UpperCamelCase_          =  invert_modulo(UpperCamelCase_					,		UpperCamelCase_  ), invert_modulo(UpperCamelCase_					,		UpperCamelCase_  )
       UpperCamelCase_          =  na * na
       UpperCamelCase_          =  ra * x * na + ra * y * na
       return (n % m + m) % m


if __name__ == "__main__":
     from doctest import testmod

     testmod(name='chinese_remainder_theorem', verbose=True)
     testmod(name='chinese_remainder_theorem2', verbose=True)
     testmod(name='invert_modulo', verbose=True)
     testmod(name='extended_euclid', verbose=True)








from typing import Optional

import pyspark

from .. import Features, NamedSplit
from ..download import DownloadMode
from ..packaged_modules.spark.spark import Spark
from .abc import AbstractDatasetReader



class 							_UpperCamelCase					(	lowerCAmelCase_     ):

       def __init__(		self: List[Any]					,   _SCREAMING_SNAKE_CASE: pyspark.sql.DataFrame					,   _SCREAMING_SNAKE_CASE: Optional[NamedSplit] = None					,   _SCREAMING_SNAKE_CASE: Optional[Features] = None					,   _SCREAMING_SNAKE_CASE: bool = True					,   _SCREAMING_SNAKE_CASE: str = None					,   _SCREAMING_SNAKE_CASE: bool = False					,   _SCREAMING_SNAKE_CASE: str = None					,   _SCREAMING_SNAKE_CASE: bool = True					,   _SCREAMING_SNAKE_CASE: str = "arrow"					,   **_SCREAMING_SNAKE_CASE: Union[str, Any]					,   )       -> Any:




              """simple docstring"""


              super().__init__(
                  split=_SCREAMING_SNAKE_CASE					,   features=_SCREAMING_SNAKE_CASE					,   cache_dir=_SCREAMING_SNAKE_CASE					,   keep_in_memory=_SCREAMING_SNAKE_CASE					,   streaming=_SCREAMING_SNAKE_CASE					,   **_SCREAMING_SNAKE_CASE					,   )
              UpperCamelCase_          =  load_from_cache_file
              UpperCamelCase_          =  file_format
              UpperCamelCase_          =  Spark(
                  df=_SCREAMING_SNAKE_CASE					,   features=_SCREAMING_SNAKE_CASE					,   cache_dir=_SCREAMING_SNAKE_CASE					,   working_dir=_SCREAMING_SNAKE_CASE					,   **_SCREAMING_SNAKE_CASE					,   )



       def lowercase (		self: str		)       -> Optional[Any]:




              """simple docstring"""


              if self.streaming:
                     return self.builder.as_streaming_dataset(split=self.split		)
              UpperCamelCase_          =  None if self._load_from_cache_file else DownloadMode.FORCE_REDOWNLOAD
              self.builder.download_and_prepare(
                  download_mode=_SCREAMING_SNAKE_CASE					,   file_format=self._file_format					,   )
              return self.builder.as_dataset(split=self.split		)

