


"""simple docstring"""
from __future__ import annotations

from sys import maxsize
from typing import Generic, TypeVar

UpperCAmelCase				=						TypeVar("""T""")

def 				_snake_case      (   __snake_case							:      int   ):




   """simple docstring"""







   return (position - 1) // 2

def 				_snake_case      (   __snake_case							:      int   ):




   """simple docstring"""







   return (2 * position) + 1

def 				_snake_case      (   __snake_case							:      int   ):




   """simple docstring"""







   return (2 * position) + 2




class 	lowercase__				(					Generic[T]				):





   def __init__(							self)  ->  None:
      _lowerCamelCase	:					list[tuple[T, int]]   =		[]
      _lowerCamelCase	:					dict[T, int]   =		{}
      _lowerCamelCase	:					int   =		0





   def __len__(							self)  ->  int:
      return self.elements





   def __repr__(							self)  ->  str:
      return str(self.heap)





   def 		UpperCamelCase_  (							self)  ->  bool:
      # Check if the priority queue is empty
      return self.elements == 0





   def 		UpperCamelCase_  (							self      ,   SCREAMING_SNAKE_CASE      ,   SCREAMING_SNAKE_CASE)  ->  None:
      # Add an element with given priority to the queue
      self.heap.append((elem, weight))
      _lowerCamelCase	:					Any   =		self.elements
      self.elements += 1
      self._bubble_up(SCREAMING_SNAKE_CASE)





   def 		UpperCamelCase_  (							self)  ->  T:
      # Remove and return the element with lowest weight (highest priority)
      if self.elements > 1:
         self._swap_nodes(0      ,   self.elements - 1)
      _lowerCamelCase   ,    _lowerCamelCase	:					Dict   =		self.heap.pop()
      del self.position_map[elem]
      self.elements -= 1
      if self.elements > 0:
         _lowerCamelCase   ,    _lowerCamelCase	:					Tuple   =		self.heap[0]
         self._bubble_down(SCREAMING_SNAKE_CASE)
      return elem





   def 		UpperCamelCase_  (							self      ,   SCREAMING_SNAKE_CASE      ,   SCREAMING_SNAKE_CASE)  ->  None:
      # Update the weight of the given key
      _lowerCamelCase	:					List[Any]   =		self.position_map[elem]
      _lowerCamelCase	:					Tuple   =		(elem, weight)
      if position > 0:
         _lowerCamelCase	:					List[str]   =		get_parent_position(SCREAMING_SNAKE_CASE)
         _lowerCamelCase   ,    _lowerCamelCase	:					int   =		self.heap[parent_position]
         if parent_weight > weight:
            self._bubble_up(SCREAMING_SNAKE_CASE)
         else:
            self._bubble_down(SCREAMING_SNAKE_CASE)
      else:
         self._bubble_down(SCREAMING_SNAKE_CASE)





   def 		UpperCamelCase_  (							self      ,   SCREAMING_SNAKE_CASE)  ->  None:
      # Place a node at the proper position (upward movement) [to be used internally
      # only]
      _lowerCamelCase	:					int   =		self.position_map[elem]
      if curr_pos == 0:
         return None
      _lowerCamelCase	:					List[Any]   =		get_parent_position(SCREAMING_SNAKE_CASE)
      _lowerCamelCase   ,    _lowerCamelCase	:					Dict   =		self.heap[curr_pos]
      _lowerCamelCase   ,    _lowerCamelCase	:					List[Any]   =		self.heap[parent_position]
      if parent_weight > weight:
         self._swap_nodes(SCREAMING_SNAKE_CASE      ,   SCREAMING_SNAKE_CASE)
         return self._bubble_up(SCREAMING_SNAKE_CASE)
      return None





   def 		UpperCamelCase_  (							self      ,   SCREAMING_SNAKE_CASE)  ->  None:
      # Place a node at the proper position (downward movement) [to be used
      # internally only]
      _lowerCamelCase	:					int   =		self.position_map[elem]
      _lowerCamelCase   ,    _lowerCamelCase	:					Dict   =		self.heap[curr_pos]
      _lowerCamelCase	:					str   =		get_child_left_position(SCREAMING_SNAKE_CASE)
      _lowerCamelCase	:					int   =		get_child_right_position(SCREAMING_SNAKE_CASE)
      if child_left_position < self.elements and child_right_position < self.elements:
         _lowerCamelCase   ,    _lowerCamelCase	:					Optional[Any]   =		self.heap[child_left_position]
         _lowerCamelCase   ,    _lowerCamelCase	:					Dict   =		self.heap[child_right_position]
         if child_right_weight < child_left_weight and child_right_weight < weight:
            self._swap_nodes(SCREAMING_SNAKE_CASE      ,   SCREAMING_SNAKE_CASE)
            return self._bubble_down(SCREAMING_SNAKE_CASE)
      if child_left_position < self.elements:
         _lowerCamelCase   ,    _lowerCamelCase	:					Dict   =		self.heap[child_left_position]
         if child_left_weight < weight:
            self._swap_nodes(SCREAMING_SNAKE_CASE      ,   SCREAMING_SNAKE_CASE)
            return self._bubble_down(SCREAMING_SNAKE_CASE)
      else:
         return None
      if child_right_position < self.elements:
         _lowerCamelCase   ,    _lowerCamelCase	:					int   =		self.heap[child_right_position]
         if child_right_weight < weight:
            self._swap_nodes(SCREAMING_SNAKE_CASE      ,   SCREAMING_SNAKE_CASE)
            return self._bubble_down(SCREAMING_SNAKE_CASE)
      return None





   def 		UpperCamelCase_  (							self      ,   SCREAMING_SNAKE_CASE      ,   SCREAMING_SNAKE_CASE)  ->  None:
      # Swap the nodes at the given positions
      _lowerCamelCase	:					List[str]   =		self.heap[nodea_pos][0]
      _lowerCamelCase	:					Dict   =		self.heap[nodea_pos][0]
      _lowerCamelCase   ,    _lowerCamelCase	:					List[Any]   =		(
          self.heap[nodea_pos],
          self.heap[nodea_pos],
      )
      _lowerCamelCase	:					Optional[Any]   =		nodea_pos
      _lowerCamelCase	:					int   =		nodea_pos







class 	lowercase__				(					Generic[T]				):





   def __init__(							self)  ->  None:
      _lowerCamelCase	:					dict[T, dict[T, int]]   =		{}
      _lowerCamelCase	:					int   =		0





   def __repr__(							self)  ->  str:
      return str(self.connections)





   def __len__(							self)  ->  int:
      return self.nodes





   def 		UpperCamelCase_  (							self      ,   SCREAMING_SNAKE_CASE)  ->  None:
      # Add a node in the graph if it is not in the graph
      if node not in self.connections:
         _lowerCamelCase	:					int   =		{}
         self.nodes += 1





   def 		UpperCamelCase_  (							self      ,   SCREAMING_SNAKE_CASE      ,   SCREAMING_SNAKE_CASE      ,   SCREAMING_SNAKE_CASE)  ->  None:
      # Add an edge between 2 nodes in the graph
      self.add_node(SCREAMING_SNAKE_CASE)
      self.add_node(SCREAMING_SNAKE_CASE)
      _lowerCamelCase	:					List[Any]   =		weight
      _lowerCamelCase	:					int   =		weight







def 				_snake_case      (   __snake_case							:      GraphUndirectedWeighted[T]						, ):




   """simple docstring"""







   _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(__snake_case						, __snake_case   )

   if priority_queue.is_empty():
      return dist, parent

   # initialization
   _lowerCamelCase	:					List[str]   =		priority_queue.extract_min()
   _lowerCamelCase	:					str   =		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(__snake_case						, dist[neighbour]   )
         _lowerCamelCase	:					Tuple   =		node

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








"""simple docstring"""




import unittest

from transformers import DonutProcessor


a		:					Optional[int]	      =     '''naver-clova-ix/donut-base'''


class 			__UpperCamelCase							(		unittest.TestCase		):






							def        __a  (  self )      ->					Dict:
								a :						Optional[Any]      =							DonutProcessor.from_pretrained(lowerCAmelCase__ )






							def        __a  (  self )      ->					List[Any]:
								a :						Optional[Any]      =							{
								    "name": "John Doe",
								    "age": "99",
								    "city": "Atlanta",
								    "state": "GA",
								    "zip": "30301",
								    "phone": "123-4567",
								    "nicknames": [{"nickname": "Johnny"}, {"nickname": "JD"}],
								}

								a :						Tuple      =							(
								    "<s_name>John Doe</s_name><s_age>99</s_age><s_city>Atlanta</s_city>"
								    "<s_state>GA</s_state><s_zip>30301</s_zip><s_phone>123-4567</s_phone>"
								    "<s_nicknames><s_nickname>Johnny</s_nickname>"
								    "<sep/><s_nickname>JD</s_nickname></s_nicknames>"
								)
								a :						List[Any]      =							self.processor.tokenajson(lowerCAmelCase__ )

								self.assertDictEqual(lowerCAmelCase__ ,   lowerCAmelCase__ )


