


import copy
import re






class    UpperCAmelCase__	:



    """simple docstring"""






    UpperCAmelCase__						:		Tuple              =  "hp"
    UpperCAmelCase__						:		Tuple              =  {}
    UpperCAmelCase__						:		Optional[Any]              =  None






    @classmethod
    def _a (      cls ,       A_ ,       A_   )  ->	Any:
         __UpperCamelCase   							=prefix
         __UpperCamelCase   							=defaults
         cls.build_naming_info()






    @staticmethod
    def _a (      A_ ,       A_   )  ->	str:
         if len(A_   ) == 0:
              return ""
         __UpperCamelCase   							=None
         if any(char.isdigit() for char in word   ):
              raise Exception(f'Parameters should not contain numbers: \'{word}\' contains a number'   )
         if word in info["short_word"]:
              return info["short_word"][word]
         for prefix_len in range(1 ,       len(A_   ) + 1   ):
              __UpperCamelCase   							=word[:prefix_len]
              if prefix in info["reverse_short_word"]:
                   continue
              else:
                   __UpperCamelCase   							=prefix
                   break

         if short_word is None:
              # Paranoid fallback
              def int_to_alphabetic(A_   ):
                   __UpperCamelCase   							=''
                   while integer != 0:
                        __UpperCamelCase   							=chr(ord('A'   ) + integer % 10   ) + s
                        integer //= 10
                   return s

              __UpperCamelCase   							=0
              while True:
                   __UpperCamelCase   							=word + '#' + int_to_alphabetic(A_   )
                   if sword in info["reverse_short_word"]:
                        continue
                   else:
                        __UpperCamelCase   							=sword
                        break

         __UpperCamelCase   							=short_word
         __UpperCamelCase   							=word
         return short_word






    @staticmethod
    def _a (      A_ ,       A_   )  ->	Optional[Any]:
         __UpperCamelCase   							=param_name.split('_'   )

         __UpperCamelCase   							=[TrialShortNamer.shortname_for_word(A_ ,       A_   ) for word in words]

         # We try to create a separatorless short name, but if there is a collision we have to fallback
         # to a separated short name
         __UpperCamelCase   							=['', '_']

         for separator in separators:
              __UpperCamelCase   							=separator.join(A_   )
              if shortname not in info["reverse_short_param"]:
                   __UpperCamelCase   							=shortname
                   __UpperCamelCase   							=param_name
                   return shortname

         return param_name






    @staticmethod
    def _a (      A_ ,       A_   )  ->	Dict:
         __UpperCamelCase   							=TrialShortNamer.shortname_for_key(A_ ,       A_   )
         __UpperCamelCase   							=short_name
         __UpperCamelCase   							=param_name






    @classmethod
    def _a (      cls   )  ->	int:
         if cls.NAMING_INFO is not None:
              return

         __UpperCamelCase   							={
             'short_word': {},
             'reverse_short_word': {},
             'short_param': {},
             'reverse_short_param': {},
         }

         __UpperCamelCase   							=list(cls.DEFAULTS.keys()   )

         for k in field_keys:
              cls.add_new_param_name(A_ ,       A_   )

         __UpperCamelCase   							=info






    @classmethod
    def _a (      cls ,       A_   )  ->	Optional[Any]:
         cls.build_naming_info()
         assert cls.PREFIX is not None
         __UpperCamelCase   							=[copy.copy(cls.PREFIX   )]

         for k, v in params.items():
              if k not in cls.DEFAULTS:
                   raise Exception(f'You should provide a default value for the param name {k} with value {v}'   )
              if v == cls.DEFAULTS[k]:
                   # The default value is not added to the name
                   continue

              __UpperCamelCase   							=cls.NAMING_INFO['short_param'][k]

              if isinstance(A_ ,       A_   ):
                   __UpperCamelCase   							=1 if v else 0

              __UpperCamelCase   							='' if isinstance(A_ ,       (int, float)   ) else '-'
              __UpperCamelCase   							=f'{key}{sep}{v}'
              name.append(A_   )

         return "_".join(A_   )






    @classmethod
    def _a (      cls ,       A_   )  ->	List[Any]:
         __UpperCamelCase   							=repr[len(cls.PREFIX   ) + 1 :]
         if repr == "":
              __UpperCamelCase   							=[]
         else:
              __UpperCamelCase   							=repr.split('_'   )

         __UpperCamelCase   							={}

         for value in values:
              if "-" in value:
                   __UpperCamelCase							,				__UpperCamelCase   							=value.split('-'   )
              else:
                   __UpperCamelCase   							=re.sub('[0-9.]' ,       '' ,       A_   )
                   __UpperCamelCase   							=float(re.sub('[^0-9.]' ,       '' ,       A_   )   )

              __UpperCamelCase   							=cls.NAMING_INFO['reverse_short_param'][p_k]

              __UpperCamelCase   							=p_v

         for k in cls.DEFAULTS:
              if k not in parameters:
                   __UpperCamelCase   							=cls.DEFAULTS[k]

         return parameters









from __future__ import annotations

from typing import Any

def 						_UpperCAmelCase    (      SCREAMING_SNAKE_CASE__      : list[Any]    ):
     create_state_space_tree(SCREAMING_SNAKE_CASE__      ,					[]      ,					0    )

def 						_UpperCAmelCase    (      SCREAMING_SNAKE_CASE__      : list[Any]      ,					SCREAMING_SNAKE_CASE__      : list[Any]      ,					SCREAMING_SNAKE_CASE__      : int    ):

     if index == len(SCREAMING_SNAKE_CASE__    ):
          print(SCREAMING_SNAKE_CASE__    )
          return

     create_state_space_tree(SCREAMING_SNAKE_CASE__      ,					SCREAMING_SNAKE_CASE__      ,					index + 1    )
     current_subsequence.append(sequence[index]    )
     create_state_space_tree(SCREAMING_SNAKE_CASE__      ,					SCREAMING_SNAKE_CASE__      ,					index + 1    )
     current_subsequence.pop()


if __name__ == "__main__":
   _A			=						[3, 1, 2, 4]
   generate_all_subsequences(seq)

   seq.clear()
   seq.extend(['A', 'B', 'C'])
   generate_all_subsequences(seq)





