
from __future__ import annotations

from sys import maxsize
from typing import Generic, TypeVar

_SCREAMING_SNAKE_CASE	       =      TypeVar("""T""")
def   __UpperCamelCase   (					SCREAMING_SNAKE_CASE )  ->     int:







							"""simple docstring"""


							return (position - 1) // 2
def   __UpperCamelCase   (					SCREAMING_SNAKE_CASE )  ->     int:







							"""simple docstring"""


							return (2 * position) + 1
def   __UpperCamelCase   (					SCREAMING_SNAKE_CASE )  ->     int:







							"""simple docstring"""


							return (2 * position) + 2







class 							__magic_name__     (		Generic[T]   ):





					def __init__(				self   :							List[str]    ):
												__snake_case     			=       []
												__snake_case     			=       {}
												__snake_case     			=       0





					def __len__(				self   :							Dict    ):
												return self.elements





					def __repr__(				self   :							Dict    ):
												return str(self.heap    )





					def 							lowerCAmelCase      (				self   :							Any    ):
												# Check if the priority queue is empty
												return self.elements == 0





					def 							lowerCAmelCase      (				self   :							List[Any]							,						snake_case_   :							T							,						snake_case_   :							int    ):
												# Add an element with given priority to the queue
												self.heap.append((elem, weight)    )
												__snake_case     			=       self.elements
												self.elements += 1
												self._bubble_up(snake_case_    )





					def 							lowerCAmelCase      (				self   :							str    ):
												# Remove and return the element with lowest weight (highest priority)
												if self.elements > 1:
																			self._swap_nodes(0							,						self.elements - 1    )
												__snake_case			,   __snake_case     			=       self.heap.pop()
												del self.position_map[elem]
												self.elements -= 1
												if self.elements > 0:
																			__snake_case			,   __snake_case     			=       self.heap[0]
																			self._bubble_down(snake_case_    )
												return elem





					def 							lowerCAmelCase      (				self   :							Optional[Any]							,						snake_case_   :							T							,						snake_case_   :							int    ):
												# Update the weight of the given key
												__snake_case     			=       self.position_map[elem]
												__snake_case     			=       (elem, weight)
												if position > 0:
																			__snake_case     			=       get_parent_position(snake_case_    )
																			__snake_case			,   __snake_case     			=       self.heap[parent_position]
																			if parent_weight > weight:
																										self._bubble_up(snake_case_    )
																			else:
																										self._bubble_down(snake_case_    )
												else:
																			self._bubble_down(snake_case_    )





					def 							lowerCAmelCase      (				self   :							Union[str, Any]							,						snake_case_   :							T    ):
												# Place a node at the proper position (upward movement) [to be used internally
												# only]
												__snake_case     			=       self.position_map[elem]
												if curr_pos == 0:
																			return None
												__snake_case     			=       get_parent_position(snake_case_    )
												__snake_case			,   __snake_case     			=       self.heap[curr_pos]
												__snake_case			,   __snake_case     			=       self.heap[parent_position]
												if parent_weight > weight:
																			self._swap_nodes(snake_case_							,						snake_case_    )
																			return self._bubble_up(snake_case_    )
												return None





					def 							lowerCAmelCase      (				self   :							Any							,						snake_case_   :							T    ):
												# Place a node at the proper position (downward movement) [to be used
												# internally only]
												__snake_case     			=       self.position_map[elem]
												__snake_case			,   __snake_case     			=       self.heap[curr_pos]
												__snake_case     			=       get_child_left_position(snake_case_    )
												__snake_case     			=       get_child_right_position(snake_case_    )
												if child_left_position < self.elements and child_right_position < self.elements:
																			__snake_case			,   __snake_case     			=       self.heap[child_left_position]
																			__snake_case			,   __snake_case     			=       self.heap[child_right_position]
																			if child_right_weight < child_left_weight and child_right_weight < weight:
																										self._swap_nodes(snake_case_							,						snake_case_    )
																										return self._bubble_down(snake_case_    )
												if child_left_position < self.elements:
																			__snake_case			,   __snake_case     			=       self.heap[child_left_position]
																			if child_left_weight < weight:
																										self._swap_nodes(snake_case_							,						snake_case_    )
																										return self._bubble_down(snake_case_    )
												else:
																			return None
												if child_right_position < self.elements:
																			__snake_case			,   __snake_case     			=       self.heap[child_right_position]
																			if child_right_weight < weight:
																										self._swap_nodes(snake_case_							,						snake_case_    )
																										return self._bubble_down(snake_case_    )
												return None





					def 							lowerCAmelCase      (				self   :							int							,						snake_case_   :							int							,						snake_case_   :							int    ):
												# Swap the nodes at the given positions
												__snake_case     			=       self.heap[nodea_pos][0]
												__snake_case     			=       self.heap[nodea_pos][0]
												__snake_case			,   __snake_case     			=       (
												    self.heap[nodea_pos],
												    self.heap[nodea_pos],
												)
												__snake_case     			=       nodea_pos
												__snake_case     			=       nodea_pos







class 							__magic_name__     (		Generic[T]   ):





					def __init__(				self   :							Optional[Any]    ):
												__snake_case     			=       {}
												__snake_case     			=       0





					def __repr__(				self   :							Optional[Any]    ):
												return str(self.connections    )





					def __len__(				self   :							Optional[Any]    ):
												return self.nodes





					def 							lowerCAmelCase      (				self   :							Dict							,						snake_case_   :							T    ):
												# Add a node in the graph if it is not in the graph
												if node not in self.connections:
																			__snake_case     			=       {}
																			self.nodes += 1





					def 							lowerCAmelCase      (				self   :							List[Any]							,						snake_case_   :							T							,						snake_case_   :							T							,						snake_case_   :							int    ):
												# Add an edge between 2 nodes in the graph
												self.add_node(snake_case_    )
												self.add_node(snake_case_    )
												__snake_case     			=       weight
												__snake_case     			=       weight




def   __UpperCamelCase   (					SCREAMING_SNAKE_CASE							,    )  ->     tuple[dict[T, int], dict[T, T | None]]:







							"""simple docstring"""


							__snake_case     			=       {node: maxsize for node in graph.connections}
							__snake_case     			=       {node: None for node in graph.connections}

							__snake_case     			=       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
							__snake_case     			=       priority_queue.extract_min()
							__snake_case     			=       0
							for neighbour in graph.connections[node]:
														if dist[neighbour] > dist[node] + graph.connections[node][neighbour]:
																					__snake_case     			=       dist[node] + graph.connections[node][neighbour]
																					priority_queue.update_key(SCREAMING_SNAKE_CASE							,    dist[neighbour] )
																					__snake_case     			=       node

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


"""simple docstring"""







from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_tf_available, is_torch_available


_SCREAMING_SNAKE_CASE	       =      {
    """configuration_groupvit""": [
        """GROUPVIT_PRETRAINED_CONFIG_ARCHIVE_MAP""",
        """GroupViTConfig""",
        """GroupViTOnnxConfig""",
        """GroupViTTextConfig""",
        """GroupViTVisionConfig""",
    ],
}

try:
		if not is_torch_available():
				raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
		pass
else:
		_SCREAMING_SNAKE_CASE	       =      [
		    """GROUPVIT_PRETRAINED_MODEL_ARCHIVE_LIST""",
		    """GroupViTModel""",
		    """GroupViTPreTrainedModel""",
		    """GroupViTTextModel""",
		    """GroupViTVisionModel""",
		]

try:
		if not is_tf_available():
				raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
		pass
else:
		_SCREAMING_SNAKE_CASE	       =      [
		    """TF_GROUPVIT_PRETRAINED_MODEL_ARCHIVE_LIST""",
		    """TFGroupViTModel""",
		    """TFGroupViTPreTrainedModel""",
		    """TFGroupViTTextModel""",
		    """TFGroupViTVisionModel""",
		]

if TYPE_CHECKING:
		from .configuration_groupvit import (
		    GROUPVIT_PRETRAINED_CONFIG_ARCHIVE_MAP,
		    GroupViTConfig,
		    GroupViTOnnxConfig,
		    GroupViTTextConfig,
		    GroupViTVisionConfig,
		)

		try:
				if not is_torch_available():
						raise OptionalDependencyNotAvailable()
		except OptionalDependencyNotAvailable:
				pass
		else:
				from .modeling_groupvit import (
				    GROUPVIT_PRETRAINED_MODEL_ARCHIVE_LIST,
				    GroupViTModel,
				    GroupViTPreTrainedModel,
				    GroupViTTextModel,
				    GroupViTVisionModel,
				)

		try:
				if not is_tf_available():
						raise OptionalDependencyNotAvailable()
		except OptionalDependencyNotAvailable:
				pass
		else:
				from .modeling_tf_groupvit import (
				    TF_GROUPVIT_PRETRAINED_MODEL_ARCHIVE_LIST,
				    TFGroupViTModel,
				    TFGroupViTPreTrainedModel,
				    TFGroupViTTextModel,
				    TFGroupViTVisionModel,
				)

else:
		import sys

		_SCREAMING_SNAKE_CASE	       =      _LazyModule(__name__, globals()["""__file__"""], _import_structure, module_spec=__spec__)
