from __future__ import annotations

from abc import abstractmethod
from collections.abc import Iterable
from typing import Generic, Protocol, TypeVar







class 					__lowercase					(       a_     ):



		"""simple docstring"""

		@abstractmethod
		def __lt__(   self		,			A  )     ->   bool:







					'''simple docstring'''







					pass







		@abstractmethod
		def __gt__(   self		,			A  )     ->   bool:







					'''simple docstring'''







					pass







		@abstractmethod
		def __eq__(   self		,			A  )     ->   bool:







					'''simple docstring'''







					pass






UpperCAmelCase      :						List[str]    =		TypeVar("T", bound=Comparable)







class 					__lowercase					(       Generic[T]     ):



		"""simple docstring"""

		def __init__(   self  )     ->   None:







					'''simple docstring'''







					lowerCamelCase								=     []
					lowerCamelCase								=     0







		def __repr__(   self  )     ->   str:







					'''simple docstring'''







					return str(self.h  )







		def 				__A      (   self		,			A  )     ->   int | None:







					'''simple docstring'''







					if child_idx > 0:
								return (child_idx - 1) // 2
					return None







		def 				__A      (   self		,			A  )     ->   int | None:







					'''simple docstring'''







					lowerCamelCase								=     2 * parent_idx + 1
					if left_child_index < self.heap_size:
								return left_child_index
					return None







		def 				__A      (   self		,			A  )     ->   int | None:







					'''simple docstring'''







					lowerCamelCase								=     2 * parent_idx + 2
					if right_child_index < self.heap_size:
								return right_child_index
					return None







		def 				__A      (   self		,			A  )     ->   None:







					'''simple docstring'''







					if index < self.heap_size:
								lowerCamelCase								=     index
								lowerCamelCase								=     self.left_child_idx(A  )
								lowerCamelCase								=     self.right_child_idx(A  )
								# check which child is larger than its parent
								if left_child is not None and self.h[left_child] > self.h[violation]:
											lowerCamelCase								=     left_child
								if right_child is not None and self.h[right_child] > self.h[violation]:
											lowerCamelCase								=     right_child
								# if violation indeed exists
								if violation != index:
											# swap to fix the violation
											lowerCamelCase		,		lowerCamelCase								=     self.h[index], self.h[violation]
											# fix the subsequent violation recursively if any
											self.max_heapify(A  )







		def 				__A      (   self		,			A  )     ->   None:







					'''simple docstring'''







					lowerCamelCase								=     list(A  )
					lowerCamelCase								=     len(self.h  )
					if self.heap_size > 1:
								# max_heapify from right to left but exclude leaves (last level)
								for i in range(self.heap_size // 2 - 1		,			-1		,			-1  ):
											self.max_heapify(A  )







		def 				__A      (   self  )     ->   T:







					'''simple docstring'''







					if self.heap_size >= 2:
								lowerCamelCase								=     self.h[0]
								lowerCamelCase								=     self.h.pop(-1  )
								self.heap_size -= 1
								self.max_heapify(0  )
								return me
					elif self.heap_size == 1:
								self.heap_size -= 1
								return self.h.pop(-1  )
					else:
								raise Exception("""Empty heap"""  )







		def 				__A      (   self		,			A  )     ->   None:







					'''simple docstring'''







					self.h.append(A  )
					lowerCamelCase								=     (self.heap_size - 1) // 2
					self.heap_size += 1
					while idx >= 0:
								self.max_heapify(A  )
								lowerCamelCase								=     (idx - 1) // 2







		def 				__A      (   self  )     ->   None:







					'''simple docstring'''







					lowerCamelCase								=     self.heap_size
					for j in range(size - 1		,			0		,			-1  ):
								lowerCamelCase		,		lowerCamelCase								=     self.h[j], self.h[0]
								self.heap_size -= 1
								self.max_heapify(0  )
					lowerCamelCase								=     size


if __name__ == "__main__":
		import doctest

		# run doc test
		doctest.testmod()

		# demo
		for unsorted in [
		    [0],
		    [2],
		    [3, 5],
		    [5, 3],
		    [5, 5],
		    [0, 0, 0, 0],
		    [1, 1, 1, 1],
		    [2, 2, 3, 5],
		    [0, 2, 2, 3, 5],
		    [2, 5, 3, 0, 2, 3, 0, 3],
		    [6, 1, 2, 7, 9, 3, 4, 5, 10, 8],
		    [1_03, 9, 1, 7, 11, 15, 25, 2_01, 2_09, 1_07, 5],
		    [-45, -2, -5],
		]:
				print(f"""unsorted array: {unsorted}""")

				UpperCAmelCase      :						Heap[int]    =		Heap()
				heap.build_max_heap(unsorted)
				print(f"""after build heap: {heap}""")

				print(f"""max value: {heap.extract_max()}""")
				print(f"""after max value removed: {heap}""")

				heap.insert(1_00)
				print(f"""after new value 100 inserted: {heap}""")

				heap.heap_sort()
				print(f"""heap-sorted array: {heap}\n""")





import abc
import copy
import dataclasses
from dataclasses import dataclass
from typing import ClassVar, Dict, Type, TypeVar

from ..features import Features


UpperCAmelCase      :						List[Any]    =		TypeVar("T", bound="TaskTemplate")







@dataclass(frozen=a_     )
class 					__lowercase					(       abc.ABC     ):



		"""simple docstring"""

		UpperCamelCase    :				str
		UpperCamelCase    :				ClassVar[Features]
		UpperCamelCase    :				ClassVar[Features]







		def 				__A      (   self		,			A  )     ->   T:







					'''simple docstring'''







					return copy.deepcopy(self  )







		@property
		def 				__A      (   self  )     ->   Features:







					'''simple docstring'''







					return Features(**self.input_schema		,			**self.label_schema  )







		@property
		@abc.abstractmethod
		def 				__A      (   self  )     ->   Dict[str, str]:







					'''simple docstring'''







					raise NotImplementedError







		@classmethod
		def 				__A      (   cls		,			A  )     ->   T:







					'''simple docstring'''







					lowerCamelCase								=     {f.name for f in dataclasses.fields(cls  )}
					return cls(**{k: v for k, v in template_dict.items() if k in field_names}  )

