
"""simple docstring"""





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



class __lowerCAmelCase					(       SCREAMING_SNAKE_CASE_   ):




			"""simple docstring"""







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







								"""simple docstring"""
								self.test()




			def   lowerCamelCase__  (					self    :       List[Any]						)   ->			Dict:







								"""simple docstring"""
								A_								=    0
								A_								=    False
								while not completed:
													if counter == 1:
																		self.reset()
													A_								=    self.advance()
													if not self.does_advance(snake_case__						):
																		raise Exception(
																		    "Custom Constraint is not defined correctly. self.does_advance(self.advance()) must be true."						)

													A_								=    self.update(snake_case__						)
													counter += 1

													if counter > 10_000:
																		raise Exception("update() does not fulfill the constraint."						)

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




			@abstractmethod
			def   lowerCamelCase__  (					self    :       int						)   ->			Dict:







								"""simple docstring"""
								raise NotImplementedError(
								    F'{self.__class__} is an abstract class. Only classes inheriting this class can be called.'						)




			@abstractmethod
			def   lowerCamelCase__  (					self    :       str							, _snake_case    :       Optional[Any]						)   ->			List[Any]:







								"""simple docstring"""
								raise NotImplementedError(
								    F'{self.__class__} is an abstract class. Only classes inheriting this class can be called.'						)




			@abstractmethod
			def   lowerCamelCase__  (					self    :       Tuple							, _snake_case    :       Tuple						)   ->			Any:







								"""simple docstring"""
								raise NotImplementedError(
								    F'{self.__class__} is an abstract class. Only classes inheriting this class can be called.'						)




			@abstractmethod
			def   lowerCamelCase__  (					self    :       str						)   ->			Union[str, Any]:







								"""simple docstring"""
								raise NotImplementedError(
								    F'{self.__class__} is an abstract class. Only classes inheriting this class can be called.'						)




			@abstractmethod
			def   lowerCamelCase__  (					self    :       str						)   ->			Any:







								"""simple docstring"""
								raise NotImplementedError(
								    F'{self.__class__} is an abstract class. Only classes inheriting this class can be called.'						)






			@abstractmethod
			def   lowerCamelCase__  (					self    :       List[str]							, _snake_case    :       Dict=False						)   ->			Any:







								"""simple docstring"""
								raise NotImplementedError(
								    F'{self.__class__} is an abstract class. Only classes inheriting this class can be called.'						)





class __lowerCAmelCase					(       SCREAMING_SNAKE_CASE_   ):




			"""simple docstring"""







			def __init__(					self    :       int							, _snake_case    :       int						)   ->			Tuple:







								"""simple docstring"""
								super(snake_case__							, self						).__init__()

								if not isinstance(snake_case__							, snake_case__						) or len(snake_case__						) == 0:
													raise ValueError(F'`token_ids` has to be a non-empty list, but is {token_ids}.'						)
								if any((not isinstance(snake_case__							, snake_case__						) 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_								=    token_ids

								A_								=    len(self.token_ids						)
								A_								=    -1  # the index of the currently fulfilled step
								A_								=    False




			def   lowerCamelCase__  (					self    :       List[str]						)   ->			List[Any]:







								"""simple docstring"""

								if self.completed:
													return None
								return self.token_ids[self.fulfilled_idx + 1]




			def   lowerCamelCase__  (					self    :       int							, _snake_case    :       Union[str, Any]						)   ->			Any:







								"""simple docstring"""

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

								if self.completed:
													return False

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




			def   lowerCamelCase__  (					self    :       str							, _snake_case    :       str						)   ->			Optional[int]:







								"""simple docstring"""

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

								A_								=    False
								A_								=    False
								A_								=    False

								if self.does_advance(snake_case__						):
													self.fulfilled_idx += 1
													A_								=    True
													if self.fulfilled_idx == (self.seqlen - 1):
																		A_								=    True
													A_								=    completed
								else:
													# failed to make progress.
													A_								=    True
													self.reset()
								return stepped, completed, reset




			def   lowerCamelCase__  (					self    :       List[Any]						)   ->			str:







								"""simple docstring"""
								A_								=    False
								A_								=    0




			def   lowerCamelCase__  (					self    :       List[str]						)   ->			Optional[Any]:







								"""simple docstring"""
								return self.seqlen - (self.fulfilled_idx + 1)






			def   lowerCamelCase__  (					self    :       Optional[Any]							, _snake_case    :       Optional[Any]=False						)   ->			Optional[int]:







								"""simple docstring"""
								A_								=    PhrasalConstraint(self.token_ids						)

								if stateful:
													A_								=    self.seqlen
													A_								=    self.fulfilled_idx
													A_								=    self.completed

								return new_constraint





class __lowerCAmelCase					:




			"""simple docstring"""







			def __init__(					self    :       Tuple							, _snake_case    :       Optional[int]							, _snake_case    :       Union[str, Any]=True						)   ->			Optional[Any]:







								"""simple docstring"""
								A_								=    max([len(snake_case__						) for one in nested_token_ids]						)

								A_								=    {}
								for token_ids in nested_token_ids:
													A_								=    root
													for tidx, token_id in enumerate(snake_case__						):
																		if token_id not in level:
																							A_								=    {}

																		A_								=    level[token_id]

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

								A_								=    root




			def   lowerCamelCase__  (					self    :       Tuple							, _snake_case    :       Optional[int]						)   ->			Optional[Any]:







								"""simple docstring"""
								A_								=    self.trie

								for current_token in current_seq:
													A_								=    start[current_token]

								A_								=    list(start.keys()						)

								return next_tokens




			def   lowerCamelCase__  (					self    :       List[Any]							, _snake_case    :       Dict						)   ->			Any:







								"""simple docstring"""
								A_								=    self.next_tokens(snake_case__						)

								return len(snake_case__						) == 0




			def   lowerCamelCase__  (					self    :       Optional[Any]							, _snake_case    :       int						)   ->			int:







								"""simple docstring"""
								A_								=    list(root.values()						)
								if len(snake_case__						) == 0:
													return 1
								else:
													return sum([self.count_leaves(snake_case__						) for nn in next_nodes]						)






			def   lowerCamelCase__  (					self    :       str							, _snake_case    :       Tuple							, _snake_case    :       Optional[int]						)   ->			List[str]:







								"""simple docstring"""
								A_								=    self.count_leaves(snake_case__						)
								return len(snake_case__						) != leaf_count





class __lowerCAmelCase					(       SCREAMING_SNAKE_CASE_   ):




			"""simple docstring"""







			def __init__(					self    :       List[str]							, _snake_case    :       Union[str, Any]						)   ->			List[str]:







								"""simple docstring"""
								super(snake_case__							, self						).__init__()

								if not isinstance(snake_case__							, snake_case__						) or len(snake_case__						) == 0:
													raise ValueError(F'`nested_token_ids` has to be a non-empty list, but is {nested_token_ids}.'						)
								if any(not isinstance(snake_case__							, snake_case__						) 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(snake_case__							, snake_case__						) 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_								=    DisjunctiveTrie(snake_case__						)
								A_								=    nested_token_ids

								A_								=    self.trie.max_height
								A_								=    []
								A_								=    False




			def   lowerCamelCase__  (					self    :       Any						)   ->			Optional[int]:







								"""simple docstring"""
								A_								=    self.trie.next_tokens(self.current_seq						)

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




			def   lowerCamelCase__  (					self    :       Optional[int]							, _snake_case    :       List[str]						)   ->			int:







								"""simple docstring"""

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

								A_								=    self.trie.next_tokens(self.current_seq						)

								return token_id in next_tokens




			def   lowerCamelCase__  (					self    :       Tuple							, _snake_case    :       List[Any]						)   ->			Optional[int]:







								"""simple docstring"""

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

								A_								=    False
								A_								=    False
								A_								=    False

								if self.does_advance(snake_case__						):
													self.current_seq.append(snake_case__						)
													A_								=    True
								else:
													A_								=    True
													self.reset()

								A_								=    self.trie.reached_leaf(self.current_seq						)
								A_								=    completed

								return stepped, completed, reset




			def   lowerCamelCase__  (					self    :       int						)   ->			Dict:







								"""simple docstring"""
								A_								=    False
								A_								=    []




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







								"""simple docstring"""

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






			def   lowerCamelCase__  (					self    :       Any							, _snake_case    :       Optional[int]=False						)   ->			Tuple:







								"""simple docstring"""
								A_								=    DisjunctiveConstraint(self.token_ids						)

								if stateful:
													A_								=    self.seqlen
													A_								=    self.current_seq
													A_								=    self.completed

								return new_constraint





class __lowerCAmelCase					:




			"""simple docstring"""







			def __init__(					self    :       int							, _snake_case    :       Union[str, Any]						)   ->			List[Any]:







								"""simple docstring"""
								A_								=    constraints

								# max # of steps required to fulfill a given constraint
								A_								=    max([c.seqlen for c in constraints]						)
								A_								=    len(snake_case__						)
								A_								=    False

								self.init_state()




			def   lowerCamelCase__  (					self    :       Dict						)   ->			Optional[int]:







								"""simple docstring"""
								A_								=    []
								A_								=    None
								A_								=    [constraint.copy(stateful=snake_case__						) for constraint in self.constraints]




			def   lowerCamelCase__  (					self    :       Optional[Any]						)   ->			Optional[int]:







								"""simple docstring"""
								A_								=    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   lowerCamelCase__  (					self    :       List[str]						)   ->			Optional[Any]:







								"""simple docstring"""
								A_								=    []
								if self.inprogress_constraint is None:
													for constraint in self.pending_constraints:  # "pending" == "unfulfilled yet"
																		A_								=    constraint.advance()
																		if isinstance(snake_case__							, snake_case__						):
																							token_list.append(snake_case__						)
																		elif isinstance(snake_case__							, snake_case__						):
																							token_list.extend(snake_case__						)
								else:
													A_								=    self.inprogress_constraint.advance()
													if isinstance(snake_case__							, snake_case__						):
																		token_list.append(snake_case__						)
													elif isinstance(snake_case__							, snake_case__						):
																		token_list.extend(snake_case__						)

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




			def   lowerCamelCase__  (					self    :       List[Any]							, _snake_case    :       List[str]						)   ->			List[str]:







								"""simple docstring"""
								self.init_state()

								if token_ids is not None:
													for token in token_ids:
																		# completes or steps **one** constraint
																		A_								=    self.add(snake_case__						)

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




			def   lowerCamelCase__  (					self    :       int							, _snake_case    :       Union[str, Any]						)   ->			List[str]:







								"""simple docstring"""

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

								A_								=    False, False

								if self.completed:
													A_								=    True
													A_								=    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_								=    self.inprogress_constraint.update(snake_case__						)
													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=snake_case__						)						)
																		A_								=    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_								=    None

																		if len(self.pending_constraints						) == 0:
																							# we're done!
																							A_								=    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(snake_case__						):
																							A_								=    pending_constraint.update(snake_case__						)

																							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(snake_case__						)
																												A_								=    None

																							if not complete and stepped:
																												A_								=    pending_constraint

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

																												A_								=    (
																												    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_								=    True

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

								return complete, stepped






			def   lowerCamelCase__  (					self    :       Tuple							, _snake_case    :       List[str]=True						)   ->			Dict:







								"""simple docstring"""
								A_								=    ConstraintListState(self.constraints						)  # we actually never though self.constraints objects
								# throughout this process. So it's at initialization state.

								if stateful:
													A_								=    [
													    constraint.copy(stateful=snake_case__						) for constraint in self.complete_constraints
													]
													if self.inprogress_constraint is not None:
																		A_								=    self.inprogress_constraint.copy(stateful=snake_case__						)
													A_								=    [constraint.copy() for constraint in self.pending_constraints]

								return new_state








'''simple docstring'''







from __future__ import annotations

from collections.abc import Iterator
class 						UpperCamelCase__       :



     """simple docstring"""






     def __init__(			self   ,						snake_case__ ):

            '''simple docstring'''

            _lowerCAmelCase     :				List[Any]       =							value
            _lowerCAmelCase     :				Node | None       =							None
            _lowerCAmelCase     :				Node | None       =							None
class 						UpperCamelCase__       :



     """simple docstring"""






     def __init__(			self   ,						snake_case__ ):

            '''simple docstring'''

            _lowerCAmelCase     :				List[Any]       =							tree







     def a						(			self   ,						snake_case__ ):

            '''simple docstring'''

            if node is None:
                   return 0
            return node.value + (
                self.depth_first_search(node.left ) + self.depth_first_search(node.right )
            )







     def __iter__(			self ):

            '''simple docstring'''

            yield self.depth_first_search(self.tree )


if __name__ == "__main__":
       import doctest

       doctest.testmod()

