





'''simple docstring'''


from bisect import bisect
from itertools import accumulate
def 							UpperCAmelCase_  (						__lowerCamelCase					:					List[str]	,__lowerCamelCase					:					int	,__lowerCamelCase					:					Optional[Any]	,__lowerCamelCase					:					str ):
   lowercase_			:Union[str, Any]    			= sorted(zip(snake_case_	,snake_case_ )	,key=lambda __lowerCamelCase : x[0] / x[1]	,reverse=snake_case_ )
   lowercase_			:Dict    			= [i[0] for i in r], [i[1] for i in r]
   lowercase_			:List[str]    			= list(accumulate(snake_case_ ) )
   lowercase_			:Dict    			= bisect(snake_case_	,snake_case_ )
   return (
       0
       if k == 0
       else sum(vl[:k] ) + (w - acc[k - 1]) * (vl[k]) / (wt[k])
       if k != n
       else sum(vl[:k] )
   )


if __name__ == "__main__":
 import doctest

 doctest.testmod()









"""simple docstring"""



import dataclasses
import json
import sys
import types
from argparse import ArgumentDefaultsHelpFormatter, ArgumentParser, ArgumentTypeError
from copy import copy
from enum import Enum
from inspect import isclass
from pathlib import Path
from typing import Any, Callable, Dict, Iterable, List, Literal, NewType, Optional, Tuple, Union, get_type_hints

import yaml


a_ =			NewType("""DataClass""", Any)
a_ =			NewType("""DataClassType""", Any)







def 		__lowercase     (   snake_case_  :  List[str]						)   ->List[str]:



    '''simple docstring'''







    if isinstance(snake_case_				,snake_case_						):
        return v
    if v.lower() in ("yes", "true", "t", "y", "1"):
        return True
    elif v.lower() in ("no", "false", "f", "n", "0"):
        return False
    else:
        raise ArgumentTypeError(
            F"""Truthy value expected: got {v} but expected one of yes/no, true/false, t/f, y/n, 1/0 (case insensitive)."""						)







def 		__lowercase     (   snake_case_  :  list						)   ->Callable[[str], Any]:



    '''simple docstring'''







    __A    :						List[Any]						 =     {str(snake_case_						): choice for choice in choices}
    return lambda snake_case_						: str_to_choice.get(snake_case_				,snake_case_						)







def 		__lowercase     (   *,
    snake_case_  :  Union[str, List[str]] = None				,snake_case_  :  str = None				,snake_case_  :  Any = dataclasses.MISSING				,snake_case_  :  Callable[[], Any] = dataclasses.MISSING				,snake_case_  :  dict = None				,**snake_case_  :  str				,)   ->dataclasses.Field:



    '''simple docstring'''







    if metadata is None:
        # Important, don't use as default param in function signature because dict is mutable and shared across function calls
        __A    :						Optional[Any]						 =     {}
    if aliases is not None:
        __A    :						List[Any]						 =     aliases
    if help is not None:
        __A    :						str						 =     help

    return dataclasses.field(metadata=snake_case_				,default=snake_case_				,default_factory=snake_case_				,**snake_case_						)






class 		__snake_case					(		SCREAMING_SNAKE_CASE__     ):





 """simple docstring"""


 _lowerCamelCase        =     42

 def __init__(    self					,						__lowerCamelCase					,						**__lowerCamelCase  ):



     '''simple docstring'''




     if "formatter_class" not in kwargs:
         __A    :						str						 =     ArgumentDefaultsHelpFormatter
     super().__init__(**__lowerCamelCase  )
     if dataclasses.is_dataclass(__lowerCamelCase  ):
         __A    :						Union[str, Any]						 =     [dataclass_types]
     __A    :						Optional[Any]						 =     list(__lowerCamelCase  )
     for dtype in self.dataclass_types:
         self._add_dataclass_arguments(__lowerCamelCase  )

 @staticmethod
 def 					UpperCamelCase__(    __lowerCamelCase					,						__lowerCamelCase  ):



     '''simple docstring'''




     __A    :						Optional[Any]						 =     F"""--{field.name}"""
     __A    :						List[Any]						 =     field.metadata.copy()
     # field.metadata is not used at all by Data Classes,
     # it is provided as a third-party extension mechanism.
     if isinstance(field.type					,						__lowerCamelCase  ):
         raise RuntimeError(
             '''Unresolved type detected, which should have been done with the help of '''
             '''`typing.get_type_hints` method by default'''  )

     __A    :						Tuple						 =     kwargs.pop('''aliases'''					,						[]  )
     if isinstance(__lowerCamelCase					,						__lowerCamelCase  ):
         __A    :						Optional[int]						 =     [aliases]

     __A    :						str						 =     getattr(field.type					,						'''__origin__'''					,						field.type  )
     if origin_type is Union or (hasattr(__lowerCamelCase					,						'''UnionType'''  ) and isinstance(__lowerCamelCase					,						types.UnionType  )):
         if str not in field.type.__args__ and (
             len(field.type.__args__  ) != 2 or type(__lowerCamelCase  ) not in field.type.__args__
         ):
             raise ValueError(
                 '''Only `Union[X, NoneType]` (i.e., `Optional[X]`) is allowed for `Union` because'''
                 ''' the argument parser only supports one type per argument.'''
                 F""" Problem encountered in field '{field.name}'."""  )
         if type(__lowerCamelCase  ) not in field.type.__args__:
             # filter `str` in Union
             __A    :						int						 =     field.type.__args__[0] if field.type.__args__[1] == str else field.type.__args__[1]
             __A    :						int						 =     getattr(field.type					,						'''__origin__'''					,						field.type  )
         elif bool not in field.type.__args__:
             # filter `NoneType` in Union (except for `Union[bool, NoneType]`)
             __A    :						int						 =     (
                 field.type.__args__[0] if isinstance(__lowerCamelCase					,						field.type.__args__[1]  ) else field.type.__args__[1]
             )
             __A    :						Tuple						 =     getattr(field.type					,						'''__origin__'''					,						field.type  )

        # A variable to store kwargs for a boolean field, if needed
        # so that we can init a `no_*` complement argument (see below)
     __A    :						Union[str, Any]						 =     {}
     if origin_type is Literal or (isinstance(field.type					,						__lowerCamelCase  ) and issubclass(field.type					,						__lowerCamelCase  )):
         if origin_type is Literal:
             __A    :						Union[str, Any]						 =     field.type.__args__
         else:
             __A    :						Union[str, Any]						 =     [x.value for x in field.type]

         __A    :						Optional[int]						 =     make_choice_type_function(kwargs['''choices''']  )

         if field.default is not dataclasses.MISSING:
             __A    :						Dict						 =     field.default
         else:
             __A    :						Optional[Any]						 =     True
     elif field.type is bool or field.type == Optional[bool]:
         # Copy the currect kwargs to use to instantiate a `no_*` complement argument below.
         # We do not initialize it here because the `no_*` alternative must be instantiated after the real argument
         __A    :						Any						 =     copy(__lowerCamelCase  )

         # Hack because type=bool in argparse does not behave as we want.
         __A    :						Dict						 =     string_to_bool
         if field.type is bool or (field.default is not None and field.default is not dataclasses.MISSING):
             # Default value is False if we have no default when of type bool.
             __A    :						Optional[Any]						 =     False if field.default is dataclasses.MISSING else field.default
             # This is the value that will get picked if we don't include --field_name in any way
             __A    :						Tuple						 =     default
             # This tells argparse we accept 0 or 1 value after --field_name
             __A    :						str						 =     '''?'''
             # This is the value that will get picked if we do --field_name (without value)
             __A    :						int						 =     True
     elif isclass(__lowerCamelCase  ) and issubclass(__lowerCamelCase					,						__lowerCamelCase  ):
         __A    :						str						 =     field.type.__args__[0]
         __A    :						List[str]						 =     '''+'''
         if field.default_factory is not dataclasses.MISSING:
             __A    :						Optional[int]						 =     field.default_factory()
         elif field.default is dataclasses.MISSING:
             __A    :						Tuple						 =     True
     else:
         __A    :						Union[str, Any]						 =     field.type
         if field.default is not dataclasses.MISSING:
             __A    :						Dict						 =     field.default
         elif field.default_factory is not dataclasses.MISSING:
             __A    :						List[str]						 =     field.default_factory()
         else:
             __A    :						str						 =     True
     parser.add_argument(__lowerCamelCase					,						*__lowerCamelCase					,						**__lowerCamelCase  )

     # Add a complement `no_*` argument for a boolean field AFTER the initial field has already been added.
     # Order is important for arguments with the same destination!
     # We use a copy of earlier kwargs because the original kwargs have changed a lot before reaching down
     # here and we do not need those changes/additional keys.
     if field.default is True and (field.type is bool or field.type == Optional[bool]):
         __A    :						List[str]						 =     False
         parser.add_argument(F"""--no_{field.name}"""					,						action='''store_false'''					,						dest=field.name					,						**__lowerCamelCase  )

 def 					UpperCamelCase__(    self					,						__lowerCamelCase  ):



     '''simple docstring'''




     if hasattr(__lowerCamelCase					,						'''_argument_group_name'''  ):
         __A    :						Tuple						 =     self.add_argument_group(dtype._argument_group_name  )
     else:
         __A    :						List[Any]						 =     self

     try:
         __A    :						Dict[str, type]						 =     get_type_hints(__lowerCamelCase  )
     except NameError:
         raise RuntimeError(
             F"""Type resolution failed for {dtype}. Try declaring the class in global scope or """
             '''removing line of `from __future__ import annotations` which opts in Postponed '''
             '''Evaluation of Annotations (PEP 563)'''  )
     except TypeError as ex:
         # Remove this block when we drop Python 3.9 support
         if sys.version_info[:2] < (3, 10) and "unsupported operand type(s) for |" in str(__lowerCamelCase  ):
             __A    :						List[str]						 =     '''.'''.join(map(__lowerCamelCase					,						sys.version_info[:3]  )  )
             raise RuntimeError(
                 F"""Type resolution failed for {dtype} on Python {python_version}. Try removing """
                 '''line of `from __future__ import annotations` which opts in union types as '''
                 '''`X | Y` (PEP 604) via Postponed Evaluation of Annotations (PEP 563). To '''
                 '''support Python versions that lower than 3.10, you need to use '''
                 '''`typing.Union[X, Y]` instead of `X | Y` and `typing.Optional[X]` instead of '''
                 '''`X | None`.'''  ) from ex
         raise

     for field in dataclasses.fields(__lowerCamelCase  ):
         if not field.init:
             continue
         __A    :						int						 =     type_hints[field.name]
         self._parse_dataclass_field(__lowerCamelCase					,						__lowerCamelCase  )

 def 					UpperCamelCase__(    self					,						__lowerCamelCase=None					,						__lowerCamelCase=False					,						__lowerCamelCase=True					,						__lowerCamelCase=None					,						__lowerCamelCase=None					,						):



     '''simple docstring'''




     if args_file_flag or args_filename or (look_for_args_file and len(sys.argv  )):
         __A    :						Tuple						 =     []

         if args_filename:
             args_files.append(Path(__lowerCamelCase  )  )
         elif look_for_args_file and len(sys.argv  ):
             args_files.append(Path(sys.argv[0]  ).with_suffix('''.args'''  )  )

         # args files specified via command line flag should overwrite default args files so we add them last
         if args_file_flag:
             # Create special parser just to extract the args_file_flag values
             __A    :						Dict						 =     ArgumentParser()
             args_file_parser.add_argument(__lowerCamelCase					,						type=__lowerCamelCase					,						action='''append'''  )

             # Use only remaining args for further parsing (remove the args_file_flag)
             __A ,       __A    :						List[Any]						 =     args_file_parser.parse_known_args(args=__lowerCamelCase  )
             __A    :						Dict						 =     vars(__lowerCamelCase  ).get(args_file_flag.lstrip('''-'''  )					,						__lowerCamelCase  )

             if cmd_args_file_paths:
                 args_files.extend([Path(__lowerCamelCase  ) for p in cmd_args_file_paths]  )

         __A    :						Any						 =     []
         for args_file in args_files:
             if args_file.exists():
                 file_args += args_file.read_text().split()

            # in case of duplicate arguments the last one has precedence
            # args specified via the command line should overwrite args from files, so we add them last
         __A    :						List[Any]						 =     file_args + args if args is not None else file_args + sys.argv[1:]
     __A ,       __A    :						Tuple						 =     self.parse_known_args(args=__lowerCamelCase  )
     __A    :						int						 =     []
     for dtype in self.dataclass_types:
         __A    :						List[str]						 =     {f.name for f in dataclasses.fields(__lowerCamelCase  ) if f.init}
         __A    :						List[str]						 =     {k: v for k, v in vars(__lowerCamelCase  ).items() if k in keys}
         for k in keys:
             delattr(__lowerCamelCase					,						__lowerCamelCase  )
         __A    :						int						 =     dtype(**__lowerCamelCase  )
         outputs.append(__lowerCamelCase  )
     if len(namespace.__dict__  ) > 0:
         # additional namespace.
         outputs.append(__lowerCamelCase  )
     if return_remaining_strings:
         return (*outputs, remaining_args)
     else:
         if remaining_args:
             raise ValueError(F"""Some specified arguments are not used by the HfArgumentParser: {remaining_args}"""  )

         return (*outputs,)

 def 					UpperCamelCase__(    self					,						__lowerCamelCase					,						__lowerCamelCase = False  ):



     '''simple docstring'''




     __A    :						Tuple						 =     set(args.keys()  )
     __A    :						Union[str, Any]						 =     []
     for dtype in self.dataclass_types:
         __A    :						str						 =     {f.name for f in dataclasses.fields(__lowerCamelCase  ) if f.init}
         __A    :						Optional[int]						 =     {k: v for k, v in args.items() if k in keys}
         unused_keys.difference_update(inputs.keys()  )
         __A    :						int						 =     dtype(**__lowerCamelCase  )
         outputs.append(__lowerCamelCase  )
     if not allow_extra_keys and unused_keys:
         raise ValueError(F"""Some keys are not used by the HfArgumentParser: {sorted(__lowerCamelCase  )}"""  )
     return tuple(__lowerCamelCase  )

 def 					UpperCamelCase__(    self					,						__lowerCamelCase					,						__lowerCamelCase = False  ):



     '''simple docstring'''




     with open(Path(__lowerCamelCase  )					,						encoding='''utf-8'''  ) as open_json_file:
         __A    :						List[str]						 =     json.loads(open_json_file.read()  )
     __A    :						List[str]						 =     self.parse_dict(__lowerCamelCase					,						allow_extra_keys=__lowerCamelCase  )
     return tuple(__lowerCamelCase  )







 def 					UpperCamelCase__(    self					,						__lowerCamelCase					,						__lowerCamelCase = False  ):



     '''simple docstring'''




     __A    :						Dict						 =     self.parse_dict(yaml.safe_load(Path(__lowerCamelCase  ).read_text()  )					,						allow_extra_keys=__lowerCamelCase  )
     return tuple(__lowerCamelCase  )




