



'''simple docstring'''





#
# Sort large text files in a minimum amount of memory
#
import argparse
import os






class  lowerCamelCase_   :
  """simple docstring"""




  a_							 ="""block_{0}.dat"""




  def __init__(			self				:     Optional[Any]      ,     _a				:     str       ) -> List[Any]:
    __lowerCamelCase	:	List[Any]   	=			filename
    __lowerCamelCase	:	Tuple   	=			[]




  def 						_lowercase					(			self				:     List[Any]      ,     _a				:     int      ,     _a				:     Tuple       ) -> Optional[int]:
    __lowerCamelCase	:	Optional[int]   	=			self.BLOCK_FILENAME_FORMAT.format(_a       )
    with open(_a      ,     'w'       ) as file:
      file.write(_a       )
    self.block_filenames.append(_a       )




  def 						_lowercase					(			self				:     Tuple       ) -> int:
    return self.block_filenames




  def 						_lowercase					(			self				:     List[Any]      ,     _a				:     Any      ,     _a				:     int=None       ) -> int:
    __lowerCamelCase	:	List[Any]   	=			0
    with open(self.filename       ) as file:
      while True:
        __lowerCamelCase	:	Union[str, Any]   	=			file.readlines(_a       )

        if lines == []:
          break

        if sort_key is None:
          lines.sort()
        else:
          lines.sort(key=_a       )

        self.write_block(''.join(_a       )      ,     _a       )
        i += 1




  def 						_lowercase					(			self				:     str       ) -> List[str]:
    map(os.remove      ,     self.block_filenames       )






class  lowerCamelCase_   :
  """simple docstring"""




  def 						_lowercase					(			self				:     int      ,     _a				:     int       ) -> Optional[Any]:
    __lowerCamelCase	:	Dict   	=			-1
    __lowerCamelCase	:	Optional[int]   	=			None

    for i in range(len(_a       )       ):
      if min_str is None or choices[i] < min_str:
        __lowerCamelCase	:	int   	=			i

    return min_index






class  lowerCamelCase_   :
  """simple docstring"""




  def __init__(			self				:     List[str]      ,     _a				:     str       ) -> List[Any]:
    __lowerCamelCase	:	Optional[Any]   	=			files
    __lowerCamelCase	:	Optional[int]   	=			set()
    __lowerCamelCase	:	Union[str, Any]   	=			len(_a       )
    __lowerCamelCase	:	Optional[Any]   	=			{i: None for i in range(self.num_buffers       )}




  def 						_lowercase					(			self				:     Optional[int]       ) -> Optional[int]:
    return {
        i: self.buffers[i] for i in range(self.num_buffers       ) if i not in self.empty
    }




  def 						_lowercase					(			self				:     Optional[int]       ) -> str:
    for i in range(self.num_buffers       ):
      if self.buffers[i] is None and i not in self.empty:
        __lowerCamelCase	:	str   	=			self.files[i].readline()

        if self.buffers[i] == "":
          self.empty.add(_a       )
          self.files[i].close()

    if len(self.empty       ) == self.num_buffers:
      return False

    return True




  def 						_lowercase					(			self				:     Optional[int]      ,     _a				:     List[Any]       ) -> Union[str, Any]:
    __lowerCamelCase	:	Union[str, Any]   	=			self.buffers[index]
    __lowerCamelCase	:	str   	=			None

    return value






class  lowerCamelCase_   :
  """simple docstring"""




  def __init__(			self				:     List[Any]      ,     _a				:     List[str]       ) -> List[Any]:
    __lowerCamelCase	:	Dict   	=			merge_strategy




  def 						_lowercase					(			self				:     List[str]      ,     _a				:     Union[str, Any]      ,     _a				:     int      ,     _a				:     Optional[int]       ) -> int:
    __lowerCamelCase	:	List[str]   	=			FilesArray(self.get_file_handles(_a      ,     _a       )       )
    with open(_a      ,     'w'      ,     _a       ) as outfile:
      while buffers.refresh():
        __lowerCamelCase	:	Union[str, Any]   	=			self.merge_strategy.select(buffers.get_dict()       )
        outfile.write(buffers.unshift(_a       )       )




  def 						_lowercase					(			self				:     Dict      ,     _a				:     str      ,     _a				:     List[str]       ) -> Union[str, Any]:
    __lowerCamelCase	:	Tuple   	=			{}

    for i in range(len(_a       )       ):
      __lowerCamelCase	:	List[Any]   	=			open(filenames[i]      ,     'r'      ,     _a       )  # noqa: UP015

    return files






class  lowerCamelCase_   :
  """simple docstring"""




  def __init__(			self				:     List[str]      ,     _a				:     Optional[int]       ) -> Union[str, Any]:
    __lowerCamelCase	:	List[str]   	=			block_size




  def 						_lowercase					(			self				:     Dict      ,     _a				:     Union[str, Any]      ,     _a				:     Union[str, Any]=None       ) -> List[Any]:
    __lowerCamelCase	:	List[Any]   	=			self.get_number_blocks(_a      ,     self.block_size       )
    __lowerCamelCase	:	List[Any]   	=			FileSplitter(_a       )
    splitter.split(self.block_size      ,     _a       )

    __lowerCamelCase	:	Any   	=			FileMerger(NWayMerge()       )
    __lowerCamelCase	:	Union[str, Any]   	=			self.block_size / (num_blocks + 1)
    merger.merge(splitter.get_block_filenames()      ,     filename + '.out'      ,     _a       )

    splitter.cleanup()




  def 						_lowercase					(			self				:     List[str]      ,     _a				:     List[Any]      ,     _a				:     Union[str, Any]       ) -> Union[str, Any]:
    return (os.stat(_a       ).st_size / block_size) + 1




def 	a_					(							_lowerCAmelCase	)				->				str:
  if string[-1].lower() == "k":
    return int(string[:-1]	) * 1024
  elif string[-1].lower() == "m":
    return int(string[:-1]	) * 1024 * 1024
  elif string[-1].lower() == "g":
    return int(string[:-1]	) * 1024 * 1024 * 1024
  else:
    return int(_lowerCAmelCase	)

def 	a_					(							)				->				Optional[int]:
  __lowerCamelCase	:	Optional[int]   	=			argparse.ArgumentParser()
  parser.add_argument(
      '-m'	,'--mem'	,help='amount of memory to use for sorting'	,default='100M'	)
  parser.add_argument(
      'filename'	,metavar='<filename>'	,nargs=1	,help='name of file to sort'	)
  __lowerCamelCase	:	List[Any]   	=			parser.parse_args()

  __lowerCamelCase	:	Dict   	=			ExternalSort(parse_memory(args.mem	)	)
  sorter.sort(args.filename[0]	)


if __name__ == "__main__":
   main()











'''simple docstring'''





import random






class  lowerCamelCase_   :
  """simple docstring"""




  def __init__(			self				:     Union[str, Any]      ,     _a				:     float      ,     _a				:     float       ) -> None:
    __lowerCamelCase	:	Optional[int]   	=			x
    __lowerCamelCase	:	Union[str, Any]   	=			y




  def 						_lowercase					(			self				:     Tuple       ) -> bool:
    return (self.x**2 + self.y**2) <= 1




  @classmethod
  def 						_lowercase					(			cls				:     List[Any]       ) -> Optional[int]:
    return cls(x=random.random()      ,     y=random.random()       )




def 	a_					(							_lowerCAmelCase	)				->				float:
  if number_of_simulations < 1:
    raise ValueError('At least one simulation is necessary to estimate PI.'	)

  __lowerCamelCase	:	Optional[int]   	=			0
  for _ in range(_lowerCAmelCase	):
    __lowerCamelCase	:	Dict   	=			Point.random_unit_square()

    if random_point.is_in_unit_circle():
      number_in_unit_circle += 1

  return 4 * number_in_unit_circle / number_of_simulations


if __name__ == "__main__":
   # import doctest

   # doctest.testmod()
   from math import pi

   _UpperCamelCase							    =						'Please enter the desired number of Monte Carlo simulations: '
   _UpperCamelCase							    =						estimate_pi(int(input(prompt).strip()))
   print(f'''An estimate of PI is {my_pi} with an error of {abs(my_pi - pi)}''')






