


from abc import ABC, abstractmethod
from typing import List, Optional







class 		_snake_case  (				_snake_case							):




 def __init__(		self   ):
       # test for the above condition
       self.test()




 def 	SCREAMING_SNAKE_CASE__    (		self   ):
       a						:Any										=	0
       a						:List[str]										=	False
       while not completed:
             if counter == 1:
                   self.reset()
             a						:int										=	self.advance()
             if not self.does_advance(_lowerCamelCase   ):
                   raise Exception(
                       '''Custom Constraint is not defined correctly. self.does_advance(self.advance()) must be true.'''   )

             a							,    a							,    a						:Optional[Any]										=	self.update(_lowerCamelCase   )
             counter += 1

             if counter > 1_0000:
                   raise Exception('''update() does not fulfill the constraint.'''   )

       if self.remaining() != 0:
             raise Exception('''Custom Constraint is not defined correctly.'''   )




 @abstractmethod
 def 	SCREAMING_SNAKE_CASE__    (		self   ):
       raise NotImplementedError(
           F'''{self.__class__} is an abstract class. Only classes inheriting this class can be called.'''   )




 @abstractmethod
 def 	SCREAMING_SNAKE_CASE__    (		self ,  _lowerCamelCase   ):
       raise NotImplementedError(
           F'''{self.__class__} is an abstract class. Only classes inheriting this class can be called.'''   )




 @abstractmethod
 def 	SCREAMING_SNAKE_CASE__    (		self ,  _lowerCamelCase   ):
       raise NotImplementedError(
           F'''{self.__class__} is an abstract class. Only classes inheriting this class can be called.'''   )




 @abstractmethod
 def 	SCREAMING_SNAKE_CASE__    (		self   ):
       raise NotImplementedError(
           F'''{self.__class__} is an abstract class. Only classes inheriting this class can be called.'''   )




 @abstractmethod
 def 	SCREAMING_SNAKE_CASE__    (		self   ):
       raise NotImplementedError(
           F'''{self.__class__} is an abstract class. Only classes inheriting this class can be called.'''   )




 @abstractmethod
 def 	SCREAMING_SNAKE_CASE__    (		self ,  _lowerCamelCase=False   ):
       raise NotImplementedError(
           F'''{self.__class__} is an abstract class. Only classes inheriting this class can be called.'''   )







class 		_snake_case  (				_snake_case							):




 def __init__(		self ,  _lowerCamelCase   ):
       super(_lowerCamelCase ,  self   ).__init__()

       if not isinstance(_lowerCamelCase ,  _lowerCamelCase   ) or len(_lowerCamelCase   ) == 0:
             raise ValueError(F'''`token_ids` has to be a non-empty list, but is {token_ids}.'''   )
       if any((not isinstance(_lowerCamelCase ,  _lowerCamelCase   ) or token_id < 0) for token_id in token_ids   ):
             raise ValueError(F'''Each list in `token_ids` has to be a list of positive integers, but is {token_ids}.'''   )

       a						:Dict										=	token_ids

       a						:int										=	len(self.token_ids   )
       a						:Optional[int]										=	-1  # the index of the currently fulfilled step
       a						:Optional[Any]										=	False




 def 	SCREAMING_SNAKE_CASE__    (		self   ):
       if self.completed:
             return None
       return self.token_ids[self.fulfilled_idx + 1]




 def 	SCREAMING_SNAKE_CASE__    (		self ,  _lowerCamelCase   ):
       if not isinstance(_lowerCamelCase ,  _lowerCamelCase   ):
             raise ValueError(F'''`token_id` has to be an `int`, but is {token_id} of type {type(_lowerCamelCase   )}'''   )

       if self.completed:
             return False

       return token_id == self.token_ids[self.fulfilled_idx + 1]




 def 	SCREAMING_SNAKE_CASE__    (		self ,  _lowerCamelCase   ):
       if not isinstance(_lowerCamelCase ,  _lowerCamelCase   ):
             raise ValueError(F'''`token_id` has to be an `int`, but is {token_id} of type {type(_lowerCamelCase   )}'''   )

       a						:List[Any]										=	False
       a						:str										=	False
       a						:int										=	False

       if self.does_advance(_lowerCamelCase   ):
             self.fulfilled_idx += 1
             a						:Any										=	True
             if self.fulfilled_idx == (self.seqlen - 1):
                   a						:Union[str, Any]										=	True
             a						:Union[str, Any]										=	completed
       else:
             # failed to make progress.
             a						:Dict										=	True
             self.reset()
       return stepped, completed, reset




 def 	SCREAMING_SNAKE_CASE__    (		self   ):
       a						:Optional[int]										=	False
       a						:Optional[int]										=	0




 def 	SCREAMING_SNAKE_CASE__    (		self   ):
       return self.seqlen - (self.fulfilled_idx + 1)




 def 	SCREAMING_SNAKE_CASE__    (		self ,  _lowerCamelCase=False   ):
       a						:Optional[Any]										=	PhrasalConstraint(self.token_ids   )

       if stateful:
             a						:Union[str, Any]										=	self.seqlen
             a						:Union[str, Any]										=	self.fulfilled_idx
             a						:Union[str, Any]										=	self.completed

       return new_constraint







class 		_snake_case  :




 def __init__(		self ,  _lowerCamelCase ,  _lowerCamelCase=True   ):
       a						:Union[str, Any]										=	max([len(_lowerCamelCase   ) for one in nested_token_ids]   )

       a						:str										=	{}
       for token_ids in nested_token_ids:
             a						:Optional[Any]										=	root
             for tidx, token_id in enumerate(_lowerCamelCase   ):
                   if token_id not in level:
                         a						:Optional[Any]										=	{}

                   a						:Union[str, Any]										=	level[token_id]

       if no_subsets and self.has_subsets(_lowerCamelCase ,  _lowerCamelCase   ):
             raise ValueError(
                 '''Each list in `nested_token_ids` can\'t be a complete subset of another list, but is'''
                 F''' {nested_token_ids}.'''   )

       a						:List[Any]										=	root




 def 	SCREAMING_SNAKE_CASE__    (		self ,  _lowerCamelCase   ):
       a						:Optional[int]										=	self.trie

       for current_token in current_seq:
             a						:Tuple										=	start[current_token]

       a						:Tuple										=	list(start.keys()   )

       return next_tokens




 def 	SCREAMING_SNAKE_CASE__    (		self ,  _lowerCamelCase   ):
       a						:Union[str, Any]										=	self.next_tokens(_lowerCamelCase   )

       return len(_lowerCamelCase   ) == 0




 def 	SCREAMING_SNAKE_CASE__    (		self ,  _lowerCamelCase   ):
       a						:Union[str, Any]										=	list(root.values()   )
       if len(_lowerCamelCase   ) == 0:
             return 1
       else:
             return sum([self.count_leaves(_lowerCamelCase   ) for nn in next_nodes]   )




 def 	SCREAMING_SNAKE_CASE__    (		self ,  _lowerCamelCase ,  _lowerCamelCase   ):
       a						:Union[str, Any]										=	self.count_leaves(_lowerCamelCase   )
       return len(_lowerCamelCase   ) != leaf_count







class 		_snake_case  (				_snake_case							):




 def __init__(		self ,  _lowerCamelCase   ):
       super(_lowerCamelCase ,  self   ).__init__()

       if not isinstance(_lowerCamelCase ,  _lowerCamelCase   ) or len(_lowerCamelCase   ) == 0:
             raise ValueError(F'''`nested_token_ids` has to be a non-empty list, but is {nested_token_ids}.'''   )
       if any(not isinstance(_lowerCamelCase ,  _lowerCamelCase   ) for token_ids in nested_token_ids   ):
             raise ValueError(F'''`nested_token_ids` has to be a list of lists, but is {nested_token_ids}.'''   )
       if any(
           any((not isinstance(_lowerCamelCase ,  _lowerCamelCase   ) or token_id < 0) for token_id in token_ids   )
           for token_ids in nested_token_ids   ):
             raise ValueError(
                 F'''Each list in `nested_token_ids` has to be a list of positive integers, but is {nested_token_ids}.'''   )

       a						:List[str]										=	DisjunctiveTrie(_lowerCamelCase   )
       a						:str										=	nested_token_ids

       a						:Union[str, Any]										=	self.trie.max_height
       a						:str										=	[]
       a						:Union[str, Any]										=	False




 def 	SCREAMING_SNAKE_CASE__    (		self   ):
       a						:List[str]										=	self.trie.next_tokens(self.current_seq   )

       if len(_lowerCamelCase   ) == 0:
             return None
       else:
             return token_list




 def 	SCREAMING_SNAKE_CASE__    (		self ,  _lowerCamelCase   ):
       if not isinstance(_lowerCamelCase ,  _lowerCamelCase   ):
             raise ValueError(F'''`token_id` is supposed to be type `int`, but is {token_id} of type {type(_lowerCamelCase   )}'''   )

       a						:List[str]										=	self.trie.next_tokens(self.current_seq   )

       return token_id in next_tokens




 def 	SCREAMING_SNAKE_CASE__    (		self ,  _lowerCamelCase   ):
       if not isinstance(_lowerCamelCase ,  _lowerCamelCase   ):
             raise ValueError(F'''`token_id` is supposed to be type `int`, but is {token_id} of type {type(_lowerCamelCase   )}'''   )

       a						:List[str]										=	False
       a						:Optional[Any]										=	False
       a						:List[Any]										=	False

       if self.does_advance(_lowerCamelCase   ):
             self.current_seq.append(_lowerCamelCase   )
             a						:Dict										=	True
       else:
             a						:Optional[Any]										=	True
             self.reset()

       a						:Dict										=	self.trie.reached_leaf(self.current_seq   )
       a						:int										=	completed

       return stepped, completed, reset




 def 	SCREAMING_SNAKE_CASE__    (		self   ):
       a						:List[str]										=	False
       a						:Union[str, Any]										=	[]




 def 	SCREAMING_SNAKE_CASE__    (		self   ):
       if self.completed:
             # since this can be completed without reaching max height
             return 0
       else:
             return self.seqlen - len(self.current_seq   )




 def 	SCREAMING_SNAKE_CASE__    (		self ,  _lowerCamelCase=False   ):
       a						:Any										=	DisjunctiveConstraint(self.token_ids   )

       if stateful:
             a						:List[Any]										=	self.seqlen
             a						:List[str]										=	self.current_seq
             a						:Dict										=	self.completed

       return new_constraint







class 		_snake_case  :




 def __init__(		self ,  _lowerCamelCase   ):
       a						:List[Any]										=	constraints

       # max # of steps required to fulfill a given constraint
       a						:Union[str, Any]										=	max([c.seqlen for c in constraints]   )
       a						:Any										=	len(_lowerCamelCase   )
       a						:List[Any]										=	False

       self.init_state()




 def 	SCREAMING_SNAKE_CASE__    (		self   ):
       a						:Dict										=	[]
       a						:int										=	None
       a						:Union[str, Any]										=	[constraint.copy(stateful=_lowerCamelCase   ) for constraint in self.constraints]




 def 	SCREAMING_SNAKE_CASE__    (		self   ):
       a						:Dict										=	0
       if self.inprogress_constraint:
             # extra points for having a constraint mid-fulfilled
             add += self.max_seqlen - self.inprogress_constraint.remaining()

       return (len(self.complete_constraints   ) * self.max_seqlen) + add




 def 	SCREAMING_SNAKE_CASE__    (		self   ):
       a						:str										=	[]
       if self.inprogress_constraint is None:
             for constraint in self.pending_constraints:  # "pending" == "unfulfilled yet"
                   a						:int										=	constraint.advance()
                   if isinstance(_lowerCamelCase ,  _lowerCamelCase   ):
                         token_list.append(_lowerCamelCase   )
                   elif isinstance(_lowerCamelCase ,  _lowerCamelCase   ):
                         token_list.extend(_lowerCamelCase   )
       else:
             a						:Optional[int]										=	self.inprogress_constraint.advance()
             if isinstance(_lowerCamelCase ,  _lowerCamelCase   ):
                   token_list.append(_lowerCamelCase   )
             elif isinstance(_lowerCamelCase ,  _lowerCamelCase   ):
                   token_list.extend(_lowerCamelCase   )

       if len(_lowerCamelCase   ) == 0:
             return None
       else:
             return token_list




 def 	SCREAMING_SNAKE_CASE__    (		self ,  _lowerCamelCase   ):
       self.init_state()

       if token_ids is not None:
             for token in token_ids:
                   # completes or steps **one** constraint
                   a							,    a						:List[Any]										=	self.add(_lowerCamelCase   )

                   # the entire list of constraints are fulfilled
                   if self.completed:
                         break




 def 	SCREAMING_SNAKE_CASE__    (		self ,  _lowerCamelCase   ):
       if not isinstance(_lowerCamelCase ,  _lowerCamelCase   ):
             raise ValueError(F'''`token_id` should be an `int`, but is `{token_id}`.'''   )

       a							,    a						:Tuple										=	False, False

       if self.completed:
             a						:Any										=	True
             a						:List[str]										=	False
             return complete, stepped

       if self.inprogress_constraint is not None:
             # In the middle of fulfilling a constraint. If the `token_id` *does* makes an incremental progress to current
             # job, simply update the state

             a							,    a							,    a						:int										=	self.inprogress_constraint.update(_lowerCamelCase   )
             if reset:
                   # 1. If the next token breaks the progress, then we must restart.
                   #     e.g. constraint = "I love pies" and sequence so far is "I love" but `token_id` == "books".

                   #     But that doesn't mean we self.init_state(), since we only reset the state for this particular
                   #     constraint, not the full list of constraints.

                   self.pending_constraints.append(self.inprogress_constraint.copy(stateful=_lowerCamelCase   )   )
                   a						:List[Any]										=	None

             if complete:
                   # 2. If the next token completes the constraint, move it to completed list, set
                   #     inprogress to None. If there are no pending constraints either, then this full list of constraints
                   #     is complete.

                   self.complete_constraints.append(self.inprogress_constraint   )
                   a						:Any										=	None

                   if len(self.pending_constraints   ) == 0:
                         # we're done!
                         a						:Any										=	True

       else:
             # Not in the middle of fulfilling a constraint. So does this `token_id` helps us step towards any of our list
             # of constraints?

             for cidx, pending_constraint in enumerate(self.pending_constraints   ):
                   if pending_constraint.does_advance(_lowerCamelCase   ):
                         a							,    a							,    a						:str										=	pending_constraint.update(_lowerCamelCase   )

                         if not stepped:
                               raise Exception(
                                   '''`constraint.update(token_id)` is not yielding incremental progress, '''
                                   '''even though `constraint.does_advance(token_id)` is true.'''   )

                         if complete:
                               self.complete_constraints.append(_lowerCamelCase   )
                               a						:Tuple										=	None

                         if not complete and stepped:
                               a						:Dict										=	pending_constraint

                         if complete or stepped:
                               # If we made any progress at all, then it's at least not a "pending constraint".

                               a						:List[Any]										=	(
                                   self.pending_constraints[:cidx] + self.pending_constraints[cidx + 1 :]
                               )

                               if len(self.pending_constraints   ) == 0 and self.inprogress_constraint is None:
                                     # If there's no longer any pending after this and no inprogress either, then we must be
                                     # complete.

                                     a						:int										=	True

                               break  # prevent accidentally stepping through multiple constraints with just one token.

       return complete, stepped




 def 	SCREAMING_SNAKE_CASE__    (		self ,  _lowerCamelCase=True   ):
       a						:Optional[int]										=	ConstraintListState(self.constraints   )  # we actually never though self.constraints objects
       # throughout this process. So it's at initialization state.

       if stateful:
             a						:str										=	[
                 constraint.copy(stateful=_lowerCamelCase   ) for constraint in self.complete_constraints
             ]
             if self.inprogress_constraint is not None:
                   a						:int										=	self.inprogress_constraint.copy(stateful=_lowerCamelCase   )
             a						:int										=	[constraint.copy() for constraint in self.pending_constraints]

       return new_state









def     __lowerCamelCase						(			UpperCAmelCase_						:		int						):




      """simple docstring"""





      if not isinstance(UpperCAmelCase_			,  UpperCAmelCase_						):
            raise TypeError('''Input value must be an \'int\' type'''						)

      a						:Optional[int]										=	0
      while number:
            position += 1
            number >>= 1

      return position


if __name__ == "__main__":
     import doctest

     doctest.testmod()





