
from __future__ import annotations

from sys import maxsize
from typing import Generic, TypeVar

lowerCamelCase__          =		TypeVar("""T""")
def  lowerCAmelCase__			(  SCREAMING_SNAKE_CASE_     )				->		int:
			return (position - 1) // 2
def  lowerCAmelCase__			(  SCREAMING_SNAKE_CASE_     )				->		int:
			return (2 * position) + 1
def  lowerCAmelCase__			(  SCREAMING_SNAKE_CASE_     )				->		int:
			return (2 * position) + 2







class      A__							(     Generic[T]	):






				def __init__(						self					:      Optional[int]   ):






							'''simple docstring'''







							lowerCAmelCase__      :      list[tuple[T, int]]         =		[]
							lowerCAmelCase__      :      dict[T, int]         =		{}
							lowerCAmelCase__      :      int         =		0






				def __len__(						self					:      List[str]   ):






							'''simple docstring'''







							return self.elements






				def __repr__(						self					:      str   ):






							'''simple docstring'''







							return str(self.heap   )






				def 							_lowerCamelCase		(						self					:      Any   ):






							'''simple docstring'''







							return self.elements == 0






				def 							_lowerCamelCase		(						self					:      List[Any]    ,     a					:      T    ,     a					:      int   ):






							'''simple docstring'''







							self.heap.append((elem, weight)   )
							lowerCAmelCase__      :      Optional[int]         =		self.elements
							self.elements += 1
							self._bubble_up(a   )






				def 							_lowerCamelCase		(						self					:      List[str]   ):






							'''simple docstring'''







							if self.elements > 1:
										self._swap_nodes(0    ,     self.elements - 1   )
							lowerCAmelCase__      ,				lowerCAmelCase__      :      str         =		self.heap.pop()
							del self.position_map[elem]
							self.elements -= 1
							if self.elements > 0:
										lowerCAmelCase__      ,				lowerCAmelCase__      :      List[str]         =		self.heap[0]
										self._bubble_down(a   )
							return elem






				def 							_lowerCamelCase		(						self					:      Optional[int]    ,     a					:      T    ,     a					:      int   ):






							'''simple docstring'''







							lowerCAmelCase__      :      int         =		self.position_map[elem]
							lowerCAmelCase__      :      Any         =		(elem, weight)
							if position > 0:
										lowerCAmelCase__      :      Optional[int]         =		get_parent_position(a   )
										lowerCAmelCase__      ,				lowerCAmelCase__      :      str         =		self.heap[parent_position]
										if parent_weight > weight:
													self._bubble_up(a   )
										else:
													self._bubble_down(a   )
							else:
										self._bubble_down(a   )






				def 							_lowerCamelCase		(						self					:      Tuple    ,     a					:      T   ):






							'''simple docstring'''







							lowerCAmelCase__      :      List[str]         =		self.position_map[elem]
							if curr_pos == 0:
										return None
							lowerCAmelCase__      :      Optional[Any]         =		get_parent_position(a   )
							lowerCAmelCase__      ,				lowerCAmelCase__      :      int         =		self.heap[curr_pos]
							lowerCAmelCase__      ,				lowerCAmelCase__      :      Tuple         =		self.heap[parent_position]
							if parent_weight > weight:
										self._swap_nodes(a    ,     a   )
										return self._bubble_up(a   )
							return None






				def 							_lowerCamelCase		(						self					:      Optional[int]    ,     a					:      T   ):






							'''simple docstring'''







							lowerCAmelCase__      :      Union[str, Any]         =		self.position_map[elem]
							lowerCAmelCase__      ,				lowerCAmelCase__      :      Optional[int]         =		self.heap[curr_pos]
							lowerCAmelCase__      :      List[Any]         =		get_child_left_position(a   )
							lowerCAmelCase__      :      int         =		get_child_right_position(a   )
							if child_left_position < self.elements and child_right_position < self.elements:
										lowerCAmelCase__      ,				lowerCAmelCase__      :      List[str]         =		self.heap[child_left_position]
										lowerCAmelCase__      ,				lowerCAmelCase__      :      List[str]         =		self.heap[child_right_position]
										if child_right_weight < child_left_weight and child_right_weight < weight:
													self._swap_nodes(a    ,     a   )
													return self._bubble_down(a   )
							if child_left_position < self.elements:
										lowerCAmelCase__      ,				lowerCAmelCase__      :      str         =		self.heap[child_left_position]
										if child_left_weight < weight:
													self._swap_nodes(a    ,     a   )
													return self._bubble_down(a   )
							else:
										return None
							if child_right_position < self.elements:
										lowerCAmelCase__      ,				lowerCAmelCase__      :      Dict         =		self.heap[child_right_position]
										if child_right_weight < weight:
													self._swap_nodes(a    ,     a   )
													return self._bubble_down(a   )
							return None






				def 							_lowerCamelCase		(						self					:      Tuple    ,     a					:      int    ,     a					:      int   ):






							'''simple docstring'''







							lowerCAmelCase__      :      List[str]         =		self.heap[nodea_pos][0]
							lowerCAmelCase__      :      str         =		self.heap[nodea_pos][0]
							lowerCAmelCase__      ,				lowerCAmelCase__      :      Any         =		(
							    self.heap[nodea_pos],
							    self.heap[nodea_pos],
							)
							lowerCAmelCase__      :      Tuple         =		nodea_pos
							lowerCAmelCase__      :      List[str]         =		nodea_pos







class      A__							(     Generic[T]	):






				def __init__(						self					:      str   ):






							'''simple docstring'''







							lowerCAmelCase__      :      dict[T, dict[T, int]]         =		{}
							lowerCAmelCase__      :      int         =		0






				def __repr__(						self					:      List[str]   ):






							'''simple docstring'''







							return str(self.connections   )






				def __len__(						self					:      Union[str, Any]   ):






							'''simple docstring'''







							return self.nodes






				def 							_lowerCamelCase		(						self					:      Optional[int]    ,     a					:      T   ):






							'''simple docstring'''







							if node not in self.connections:
										lowerCAmelCase__      :      Optional[Any]         =		{}
										self.nodes += 1






				def 							_lowerCamelCase		(						self					:      Tuple    ,     a					:      T    ,     a					:      T    ,     a					:      int   ):






							'''simple docstring'''







							self.add_node(a   )
							self.add_node(a   )
							lowerCAmelCase__      :      Optional[Any]         =		weight
							lowerCAmelCase__      :      Tuple         =		weight






def  lowerCAmelCase__			(  SCREAMING_SNAKE_CASE_       ,							)				->		tuple[dict[T, int], dict[T, T | None]]:
			lowerCAmelCase__      :      dict[T, int]         =		{node: maxsize for node in graph.connections}
			lowerCAmelCase__      :      dict[T, T | None]         =		{node: None for node in graph.connections}

			lowerCAmelCase__      :      MinPriorityQueue[T]         =		MinPriorityQueue()
			for node, weight in dist.items():
						priority_queue.push(SCREAMING_SNAKE_CASE_       ,							SCREAMING_SNAKE_CASE_     )

			if priority_queue.is_empty():
						return dist, parent

			# initialization
			lowerCAmelCase__      :      Union[str, Any]         =		priority_queue.extract_min()
			lowerCAmelCase__      :      Optional[int]         =		0
			for neighbour in graph.connections[node]:
						if dist[neighbour] > dist[node] + graph.connections[node][neighbour]:
									lowerCAmelCase__      :      List[Any]         =		dist[node] + graph.connections[node][neighbour]
									priority_queue.update_key(SCREAMING_SNAKE_CASE_       ,							dist[neighbour]     )
									lowerCAmelCase__      :      Any         =		node

    # running prim's algorithm
			while not priority_queue.is_empty():
						lowerCAmelCase__      :      Tuple         =		priority_queue.extract_min()
						for neighbour in graph.connections[node]:
									if dist[neighbour] > dist[node] + graph.connections[node][neighbour]:
												lowerCAmelCase__      :      Optional[Any]         =		dist[node] + graph.connections[node][neighbour]
												priority_queue.update_key(SCREAMING_SNAKE_CASE_       ,							dist[neighbour]     )
												lowerCAmelCase__      :      List[str]         =		node
			return dist, parent

import copy
from dataclasses import dataclass, field
from typing import ClassVar, Dict

from ..features import Audio, ClassLabel, Features
from .base import TaskTemplate







@dataclass(frozen=__magic_name__	)
class      A__							(     __magic_name__	):
				lowercase			    =  field(default='audio-classification'						,   metadata={'include_in_asdict_even_if_is_default': True}	)
				lowercase			    =  Features({'audio': Audio()}	)
				lowercase			    =  Features({'labels': ClassLabel}	)
				lowercase			    =  "audio"
				lowercase			    =  "labels"






				def 							_lowerCamelCase		(						self					:      Dict    ,     a					:      Tuple   ):






							'''simple docstring'''







							if self.label_column not in features:
										raise ValueError(f'''Column {self.label_column} is not present in features.'''   )
							if not isinstance(features[self.label_column]    ,     a   ):
										raise ValueError(f'''Column {self.label_column} is not a ClassLabel.'''   )
							lowerCAmelCase__      :      Tuple         =		copy.deepcopy(self   )
							lowerCAmelCase__      :      List[Any]         =		self.label_schema.copy()
							lowerCAmelCase__      :      List[Any]         =		features[self.label_column]
							lowerCAmelCase__      :      Optional[int]         =		label_schema
							return task_template






				@property
				def 							_lowerCamelCase		(						self					:      List[str]   ):






							'''simple docstring'''







							return {
							    self.audio_column: "audio",
							    self.label_column: "labels",
							}