

# Lint as: python3
import itertools
import os
import re


lowercase_             =     re.compile(R'([A-Z]+)([A-Z][a-z])')
lowercase_             =     re.compile(R'([a-z\d])([A-Z])')

lowercase_             =     re.compile(R'(?<!_)_(?!_)')
lowercase_             =     re.compile(R'(_{2,})')

lowercase_             =     R'^\w+(\.\w+)*$'

lowercase_             =     R'<>:/\|?*'
def   a   (    A__			:     Union[str, Any]  )					->   Optional[int]:





      """simple docstring"""



      _lowercase			 =_uppercase_uppercase_re.sub(r'\1_\2'   ,     A__  )
      _lowercase			 =_lowercase_uppercase_re.sub(r'\1_\2'   ,     A__  )
      return name.lower()
def   a   (    A__			:     Union[str, Any]  )					->   Union[str, Any]:





      """simple docstring"""



      _lowercase			 =_single_underscore_re.split(A__  )
      _lowercase			 =[_multiple_underscores_re.split(A__  ) for n in name]
      return "".join(n.capitalize() for n in itertools.chain.from_iterable(A__  ) if n != ''  )
def   a   (    A__			:     str  )					->   Dict:





      """simple docstring"""



      if os.path.basename(A__  ) != name:
            raise ValueError(F'''Should be a dataset name, not a path: {name}'''  )
      return camelcase_to_snakecase(A__  )
def   a   (    A__			:     Any   ,     A__			:     str  )					->   Optional[Any]:





      """simple docstring"""



      if os.path.basename(A__  ) != name:
            raise ValueError(F'''Should be a dataset name, not a path: {name}'''  )
      if not re.match(_split_re   ,     A__  ):
            raise ValueError(F'''Split name should match \'{_split_re}\'\' but got \'{split}\'.'''  )
      return F'''{filename_prefix_for_name(A__  )}-{split}'''
def   a   (    A__			:     Any   ,     A__			:     Dict   ,     A__			:     List[str]   ,     A__			:     Dict=None  )					->   int:





      """simple docstring"""



      _lowercase			 =filename_prefix_for_split(A__   ,     A__  )
      if filetype_suffix:
            prefix += F'''.{filetype_suffix}'''
      _lowercase			 =os.path.join(A__   ,     A__  )
      return F'''{filepath}*'''







def   a   (    A__			:     Tuple   ,     A__			:     Any   ,     A__			:     Tuple   ,     A__			:     Any=None   ,     A__			:     List[str]=None  )					->   Optional[Any]:





      """simple docstring"""



      _lowercase			 =filename_prefix_for_split(A__   ,     A__  )
      _lowercase			 =os.path.join(A__   ,     A__  )

      if shard_lengths:
            _lowercase			 =len(A__  )
            _lowercase			 =[F'''{prefix}-{shard_id:05d}-of-{num_shards:05d}''' for shard_id in range(A__  )]
            if filetype_suffix:
                  _lowercase			 =[filename + F'''.{filetype_suffix}''' for filename in filenames]
            return filenames
      else:
            _lowercase			 =prefix
            if filetype_suffix:
                  filename += F'''.{filetype_suffix}'''
            return [filename]





from math import pow, sqrt
def   a   (    *A__			:     float  )					->   bool:





      """simple docstring"""



      _lowercase			 =len(A__  ) > 0 and all(value > 0.0 for value in values  )
      return result
def   a   (    A__			:     float   ,     A__			:     float  )					->   float | ValueError:





      """simple docstring"""



      return (
          round(sqrt(molar_mass_a / molar_mass_a  )   ,     6  )
          if validate(A__   ,     A__  )
          else ValueError('Input Error: Molar mass values must greater than 0.'  )
      )
def   a   (    A__			:     float   ,     A__			:     float   ,     A__			:     float  )					->   float | ValueError:





      """simple docstring"""



      return (
          round(effusion_rate * sqrt(molar_mass_a / molar_mass_a  )   ,     6  )
          if validate(A__   ,     A__   ,     A__  )
          else ValueError(
              'Input Error: Molar mass and effusion rate values must greater than 0.'  )
      )
def   a   (    A__			:     float   ,     A__			:     float   ,     A__			:     float  )					->   float | ValueError:





      """simple docstring"""



      return (
          round(effusion_rate / sqrt(molar_mass_a / molar_mass_a  )   ,     6  )
          if validate(A__   ,     A__   ,     A__  )
          else ValueError(
              'Input Error: Molar mass and effusion rate values must greater than 0.'  )
      )
def   a   (    A__			:     float   ,     A__			:     float   ,     A__			:     float  )					->   float | ValueError:





      """simple docstring"""



      return (
          round(molar_mass / pow(effusion_rate_a / effusion_rate_a   ,     2  )   ,     6  )
          if validate(A__   ,     A__   ,     A__  )
          else ValueError(
              'Input Error: Molar mass and effusion rate values must greater than 0.'  )
      )







def   a   (    A__			:     float   ,     A__			:     float   ,     A__			:     float  )					->   float | ValueError:





      """simple docstring"""



      return (
          round(pow(effusion_rate_a / effusion_rate_a   ,     2  ) / molar_mass   ,     6  )
          if validate(A__   ,     A__   ,     A__  )
          else ValueError(
              'Input Error: Molar mass and effusion rate values must greater than 0.'  )
      )


