



from pathlib import PurePosixPath
from typing import Optional

import fsspec
from fsspec import AbstractFileSystem
from huggingface_hub.hf_api import DatasetInfo

from ..utils.file_utils import get_authentication_headers_for_url
from ..utils.hub import hf_hub_url

class       _SCREAMING_SNAKE_CASE	(a__ ):
					lowerCAmelCase					=			""""""
					lowerCAmelCase					=			"""hf-legacy"""  # "hf://"" is reserved for hffs





					def __init__(       self :							List[str]     ,  UpperCamelCase :							List[Any] = None     ,  UpperCamelCase :							Optional[Any] = None     ,  **UpperCamelCase :							List[Any]     ,  )->Optional[Any]:
						super().__init__(self     ,  **lowercase__				)
						__SCREAMING_SNAKE_CASE       :    List[Any]       =	repo_info
						__SCREAMING_SNAKE_CASE       :    int       =	token
						__SCREAMING_SNAKE_CASE       :    Optional[Any]       =	None





					def 	__snake_case    (       self :							Any				)->Union[str, Any]:





						if self.dir_cache is None:
							__SCREAMING_SNAKE_CASE       :    List[str]       =	{}
							for hf_file in self.repo_info.siblings:
								# TODO(QL): add sizes
								__SCREAMING_SNAKE_CASE       :    Tuple       =	{
								    '''name''': hf_file.rfilename,
								    '''size''': None,
								    '''type''': '''file''',
								}
								self.dir_cache.update(
								    {
								        str(lowercase__				): {"name": str(lowercase__				), "size": None, "type": "directory"}
								        for d in list(PurePosixPath(hf_file.rfilename				).parents				)[:-1]
								    }				)





					def 	__snake_case    (       self :							Optional[Any]     ,  UpperCamelCase :							List[str]     ,  UpperCamelCase :							Dict = "rb"     ,  **UpperCamelCase :							Tuple     ,  )->Union[str, Any]:





						if not isinstance(self.repo_info     ,  lowercase__				):
							raise NotImplementedError(F"""Open is only implemented for dataset repositories, but got {self.repo_info}"""				)
						__SCREAMING_SNAKE_CASE       :    Optional[Any]       =	hf_hub_url(self.repo_info.id     ,  lowercase__     ,  revision=self.repo_info.sha				)
						return fsspec.open(
						    lowercase__     ,  mode=lowercase__     ,  headers=get_authentication_headers_for_url(lowercase__     ,  use_auth_token=self.token				)     ,  client_kwargs={"trust_env": True}     ,  ).open()





					def 	__snake_case    (       self :							List[Any]     ,  UpperCamelCase :							Optional[Any]     ,  **UpperCamelCase :							Union[str, Any]				)->Optional[int]:
						self._get_dirs()
						__SCREAMING_SNAKE_CASE       :    List[Any]       =	self._strip_protocol(lowercase__				)
						if path in self.dir_cache:
							return self.dir_cache[path]
						else:
							raise FileNotFoundError(lowercase__				)






					def 	__snake_case    (       self :							List[Any]     ,  UpperCamelCase :							Optional[Any]     ,  UpperCamelCase :							List[str]=False     ,  **UpperCamelCase :							str				)->List[str]:
						self._get_dirs()
						__SCREAMING_SNAKE_CASE       :    Optional[int]       =	PurePosixPath(path.strip("/"				)				)
						__SCREAMING_SNAKE_CASE       :    Any       =	{}
						for p, f in self.dir_cache.items():
							__SCREAMING_SNAKE_CASE       :    List[Any]       =	PurePosixPath(p.strip("/"				)				)
							__SCREAMING_SNAKE_CASE       :    Tuple       =	p.parent
							if root == path:
								__SCREAMING_SNAKE_CASE       :    int       =	f
						__SCREAMING_SNAKE_CASE       :    Optional[Any]       =	list(paths.values()				)
						if detail:
							return out
						else:
							return sorted(f["name"] for f in out				)











from math import sqrt






def 	_lowerCAmelCase						(				__lowerCamelCase   :     int = 1000000     ):



 """simple docstring"""





 __SCREAMING_SNAKE_CASE       :    int       =	0
 __SCREAMING_SNAKE_CASE       :    int       =	0
 __SCREAMING_SNAKE_CASE       :    int

 while num_cuboids <= limit:
  max_cuboid_size += 1
  for sum_shortest_sides in range(2		,	2 * max_cuboid_size + 1     ):
   if sqrt(sum_shortest_sides**2 + max_cuboid_size**2     ).is_integer():
    num_cuboids += (
        min(__lowerCamelCase		,	sum_shortest_sides // 2     )
        - max(1		,	sum_shortest_sides - max_cuboid_size     )
        + 1
    )

 return max_cuboid_size


if __name__ == "__main__":
      print(f'''{solution() = }''')






