
from __future__ import annotations

from sys import maxsize
from typing import Generic, TypeVar

lowercase_      							=       TypeVar("""T""")


def 				a__ (				snake_case				):





  """simple docstring"""
  return (position - 1) // 2


def 				a__ (				snake_case				):





  """simple docstring"""
  return (2 * position) + 1


def 				a__ (				snake_case				):





  """simple docstring"""
  return (2 * position) + 2





class   __UpperCamelCase      (				Generic[T]    ):






     """simple docstring"""







     def __init__(							self				:				str      ):







       """simple docstring"""




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



     def __len__(							self				:				List[str]      ):







       """simple docstring"""




       return self.elements



     def __repr__(							self				:				Dict      ):







       """simple docstring"""




       return str(self.heap      )



     def       UpperCAmelCase__				(							self				:				int      ):







       """simple docstring"""




       return self.elements == 0



     def       UpperCAmelCase__				(							self				:				str			,		_A				:				T			,		_A				:				int      ):







       """simple docstring"""




       self.heap.append((elem, weight)      )
       __SCREAMING_SNAKE_CASE	:     Union[str, Any] =						self.elements
       self.elements += 1
       self._bubble_up(_A      )



     def       UpperCAmelCase__				(							self				:				List[Any]      ):







       """simple docstring"""




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



     def       UpperCAmelCase__				(							self				:				Union[str, Any]			,		_A				:				T			,		_A				:				int      ):







       """simple docstring"""




       __SCREAMING_SNAKE_CASE	:     Tuple =						self.position_map[elem]
       __SCREAMING_SNAKE_CASE	:     int =						(elem, weight)
       if position > 0:
         __SCREAMING_SNAKE_CASE	:     int =						get_parent_position(_A      )
         __SCREAMING_SNAKE_CASE	:     int =						self.heap[parent_position]
         if parent_weight > weight:
           self._bubble_up(_A      )
         else:
           self._bubble_down(_A      )
       else:
         self._bubble_down(_A      )



     def       UpperCAmelCase__				(							self				:				List[Any]			,		_A				:				T      ):







       """simple docstring"""




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



     def       UpperCAmelCase__				(							self				:				Optional[Any]			,		_A				:				T      ):







       """simple docstring"""




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




     def       UpperCAmelCase__				(							self				:				Optional[int]			,		_A				:				int			,		_A				:				int      ):







       """simple docstring"""




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






class   __UpperCamelCase      (				Generic[T]    ):






     """simple docstring"""







     def __init__(							self				:				Any      ):







       """simple docstring"""




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



     def __repr__(							self				:				Optional[Any]      ):







       """simple docstring"""




       return str(self.connections      )



     def __len__(							self				:				str      ):







       """simple docstring"""




       return self.nodes



     def       UpperCAmelCase__				(							self				:				Tuple			,		_A				:				T      ):







       """simple docstring"""




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




     def       UpperCAmelCase__				(							self				:				Tuple			,		_A				:				T			,		_A				:				T			,		_A				:				int      ):







       """simple docstring"""




       self.add_node(_A      )
       self.add_node(_A      )
       __SCREAMING_SNAKE_CASE	:     Union[str, Any] =						weight
       __SCREAMING_SNAKE_CASE	:     Union[str, Any] =						weight






def 				a__ (				snake_case    ,       ):





  """simple docstring"""
  __SCREAMING_SNAKE_CASE	:     dict[T, int] =						{node: maxsize for node in graph.connections}
  __SCREAMING_SNAKE_CASE	:     dict[T, T | None] =						{node: None for node in graph.connections}

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

  if priority_queue.is_empty():
    return dist, parent

  # initialization
  __SCREAMING_SNAKE_CASE	:     Optional[Any] =						priority_queue.extract_min()
  __SCREAMING_SNAKE_CASE	:     Dict =						0
  for neighbour in graph.connections[node]:
    if dist[neighbour] > dist[node] + graph.connections[node][neighbour]:
      __SCREAMING_SNAKE_CASE	:     int =						dist[node] + graph.connections[node][neighbour]
      priority_queue.update_key(snake_case    ,       dist[neighbour]				)
      __SCREAMING_SNAKE_CASE	:     Optional[int] =						node

    # running prim's algorithm
  while not priority_queue.is_empty():
    __SCREAMING_SNAKE_CASE	:     Any =						priority_queue.extract_min()
    for neighbour in graph.connections[node]:
      if dist[neighbour] > dist[node] + graph.connections[node][neighbour]:
        __SCREAMING_SNAKE_CASE	:     Dict =						dist[node] + graph.connections[node][neighbour]
        priority_queue.update_key(snake_case    ,       dist[neighbour]				)
        __SCREAMING_SNAKE_CASE	:     int =						node
  return dist, parent

from typing import TYPE_CHECKING

from ...utils import (
    OptionalDependencyNotAvailable,
    _LazyModule,
    is_flax_available,
    is_tf_available,
    is_torch_available,
)


__lowerCamelCase					:	Dict       =  {'''configuration_vit_mae''': ['''VIT_MAE_PRETRAINED_CONFIG_ARCHIVE_MAP''', '''ViTMAEConfig''']}

try:
		if not is_torch_available():
				raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
		pass
else:
		__lowerCamelCase					:	Any       =  [
		    '''VIT_MAE_PRETRAINED_MODEL_ARCHIVE_LIST''',
		    '''ViTMAEForPreTraining''',
		    '''ViTMAELayer''',
		    '''ViTMAEModel''',
		    '''ViTMAEPreTrainedModel''',
		]

try:
		if not is_tf_available():
				raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
		pass
else:
		__lowerCamelCase					:	Optional[Any]       =  [
		    '''TFViTMAEForPreTraining''',
		    '''TFViTMAEModel''',
		    '''TFViTMAEPreTrainedModel''',
		]

if TYPE_CHECKING:
		from .configuration_vit_mae import VIT_MAE_PRETRAINED_CONFIG_ARCHIVE_MAP, ViTMAEConfig

		try:
				if not is_torch_available():
						raise OptionalDependencyNotAvailable()
		except OptionalDependencyNotAvailable:
				pass
		else:
				from .modeling_vit_mae import (
				    VIT_MAE_PRETRAINED_MODEL_ARCHIVE_LIST,
				    ViTMAEForPreTraining,
				    ViTMAELayer,
				    ViTMAEModel,
				    ViTMAEPreTrainedModel,
				)

		try:
				if not is_tf_available():
						raise OptionalDependencyNotAvailable()
		except OptionalDependencyNotAvailable:
				pass
		else:
				from .modeling_tf_vit_mae import TFViTMAEForPreTraining, TFViTMAEModel, TFViTMAEPreTrainedModel


else:
		import sys

		__lowerCamelCase					:	Any       =  _LazyModule(__name__, globals()['''__file__'''], _import_structure, module_spec=__spec__)
