


import math
import sys







class  lowerCamelCase__  :





     def __init__(self			)	->  Any:
      _lowercase				 =0
      _lowercase				 =[]
      _lowercase				 ={}  # To store the pos of node in array





     def 	__A   (self			)	->  str:
      return self.cur_size == 0





     def 	__A   (self						,	UpperCAmelCase			)	->  Optional[int]:
      _lowercase				 =self.left(UpperCAmelCase			)
      _lowercase				 =self.right(UpperCAmelCase			)
      if lc < self.cur_size and self.array(UpperCAmelCase			)[0] < self.array(UpperCAmelCase			)[0]:
       _lowercase				 =lc
      else:
       _lowercase				 =idx
      if rc < self.cur_size and self.array(UpperCAmelCase			)[0] < self.array(UpperCAmelCase			)[0]:
       _lowercase				 =rc
      if smallest != idx:
       self.swap(UpperCAmelCase						,	UpperCAmelCase			)
       self.min_heapify(UpperCAmelCase			)





     def 	__A   (self						,	UpperCAmelCase			)	->  Optional[Any]:
      # Inserts a node into the Priority Queue
      _lowercase				 =self.cur_size
      self.cur_size += 1
      self.array.append((sys.maxsize, tup[1])			)
      self.decrease_key((sys.maxsize, tup[1])						,	tup[0]			)





     def 	__A   (self			)	->  List[str]:
      # Removes and returns the min element at top of priority queue
      _lowercase				 =self.array[0][1]
      _lowercase				 =self.array[self.cur_size - 1]
      self.cur_size -= 1
      self.min_heapify(1			)
      del self.pos[min_node]
      return min_node





     def 	__A   (self						,	UpperCAmelCase			)	->  Optional[Any]:
      # returns the index of left child
      return 2 * i + 1





     def 	__A   (self						,	UpperCAmelCase			)	->  Dict:
      # returns the index of right child
      return 2 * i + 2





     def 	__A   (self						,	UpperCAmelCase			)	->  Any:
      # returns the index of parent
      return math.floor(i / 2			)





     def 	__A   (self						,	UpperCAmelCase						,	UpperCAmelCase			)	->  str:
      # swaps array elements at indices i and j
      # update the pos{}
      _lowercase				 =j
      _lowercase				 =i
      _lowercase				 =self.array[i]
      _lowercase				 =self.array[j]
      _lowercase				 =temp





     def 	__A   (self						,	UpperCAmelCase						,	UpperCAmelCase			)	->  Dict:
      _lowercase				 =self.pos[tup[1]]
      # assuming the new_d is atmost old_d
      _lowercase				 =(new_d, tup[1])
      while idx > 0 and self.array[self.par(UpperCAmelCase			)][0] > self.array[idx][0]:
       self.swap(UpperCAmelCase						,	self.par(UpperCAmelCase			)			)
       _lowercase				 =self.par(UpperCAmelCase			)







class  lowerCamelCase__  :





     def __init__(self						,	UpperCAmelCase			)	->  Any:
      _lowercase				 ={}  # To store graph: u -> (v,w)
      _lowercase				 =num  # Number of nodes in graph
      # To store the distance from source vertex
      _lowercase				 =[0] * self.num_nodes
      _lowercase				 =[-1] * self.num_nodes  # To store the path





     def 	__A   (self						,	UpperCAmelCase						,	UpperCAmelCase						,	UpperCAmelCase			)	->  Dict:
      #  Edge going from node u to v and v to u with weight w
      # u (w)-> v, v (w) -> u
      # Check if u already in graph
      if u in self.adjList:
       self.adjList[u].append((v, w)			)
      else:
       _lowercase				 =[(v, w)]

      # Assuming undirected graph
      if v in self.adjList:
       self.adjList[v].append((u, w)			)
      else:
       _lowercase				 =[(u, w)]





     def 	__A   (self			)	->  Optional[int]:
      # u -> v(w)
      for u in self.adjList:
       print(UpperCAmelCase						,	'''->'''						,	''' -> '''.join(str(f"{v}({w})"			) for v, w in self.adjList[u]			)			)





     def 	__A   (self						,	UpperCAmelCase			)	->  int:
      # Flush old junk values in par[]
      _lowercase				 =[-1] * self.num_nodes
      # src is the source node
      _lowercase				 =0
      _lowercase				 =PriorityQueue()
      q.insert((0, src)			)  # (dist from src, node)
      for u in self.adjList:
       if u != src:
        _lowercase				 =sys.maxsize  # Infinity
        _lowercase				 =-1

      while not q.is_empty():
       _lowercase				 =q.extract_min()  # Returns node with the min dist from source
       # Update the distance of all the neighbours of u and
       # if their prev dist was INFINITY then push them in Q
       for v, w in self.adjList[u]:
        _lowercase				 =self.dist[u] + w
        if self.dist[v] > new_dist:
         if self.dist[v] == sys.maxsize:
          q.insert((new_dist, v)			)
         else:
          q.decrease_key((self.dist[v], v)						,	UpperCAmelCase			)
         _lowercase				 =new_dist
         _lowercase				 =u

        # Show the shortest distances from src
      self.show_distances(UpperCAmelCase			)





     def 	__A   (self						,	UpperCAmelCase			)	->  List[str]:
      print(f"Distance from node: {src}"			)
      for u in range(self.num_nodes			):
       print(f"Node {u} has distance: {self.dist[u]}"			)





     def 	__A   (self						,	UpperCAmelCase						,	UpperCAmelCase			)	->  int:
      # To show the shortest path from src to dest
      # WARNING: Use it *after* calling dijkstra
      _lowercase				 =[]
      _lowercase				 =0
      _lowercase				 =dest
      # Backtracking from dest to src
      while self.par[temp] != -1:
       path.append(UpperCAmelCase			)
       if temp != src:
        for v, w in self.adjList[temp]:
         if v == self.par[temp]:
          cost += w
          break
       _lowercase				 =self.par[temp]
      path.append(UpperCAmelCase			)
      path.reverse()

      print(f"----Path to reach {dest} from {src}----"			)
      for u in path:
       print(f"{u}"						,	end=''' '''			)
       if u != dest:
        print('''-> '''						,	end=''''''			)

      print('''\nTotal cost of path: '''						,	UpperCAmelCase			)


if __name__ == "__main__":
  UpperCAmelCase__        =				Graph(9)
  graph.add_edge(0, 1, 4)
  graph.add_edge(0, 7, 8)
  graph.add_edge(1, 2, 8)
  graph.add_edge(1, 7, 11)
  graph.add_edge(2, 3, 7)
  graph.add_edge(2, 8, 2)
  graph.add_edge(2, 5, 4)
  graph.add_edge(3, 4, 9)
  graph.add_edge(3, 5, 14)
  graph.add_edge(4, 5, 10)
  graph.add_edge(5, 6, 2)
  graph.add_edge(6, 7, 1)
  graph.add_edge(6, 8, 6)
  graph.add_edge(7, 8, 7)
  graph.show_graph()
  graph.dijkstra(0)
  graph.show_path(0, 4)

# OUTPUT
# 0 -> 1(4) -> 7(8)
# 1 -> 0(4) -> 2(8) -> 7(11)
# 7 -> 0(8) -> 1(11) -> 6(1) -> 8(7)
# 2 -> 1(8) -> 3(7) -> 8(2) -> 5(4)
# 3 -> 2(7) -> 4(9) -> 5(14)
# 8 -> 2(2) -> 6(6) -> 7(7)
# 5 -> 2(4) -> 3(14) -> 4(10) -> 6(2)
# 4 -> 3(9) -> 5(10)
# 6 -> 5(2) -> 7(1) -> 8(6)
# Distance from node: 0
# Node 0 has distance: 0
# Node 1 has distance: 4
# Node 2 has distance: 12
# Node 3 has distance: 19
# Node 4 has distance: 21
# Node 5 has distance: 11
# Node 6 has distance: 9
# Node 7 has distance: 8
# Node 8 has distance: 14
# ----Path to reach 4 from 0----
# 0 -> 7 -> 6 -> 5 -> 4
# Total cost of path:  21





import json
from typing import List, Optional, Tuple

from tokenizers import normalizers

from ...tokenization_utils import AddedToken
from ...tokenization_utils_fast import PreTrainedTokenizerFast
from ...utils import logging
from .tokenization_mpnet import MPNetTokenizer


UpperCAmelCase__        =				logging.get_logger(__name__)

UpperCAmelCase__        =				{'''vocab_file''': '''vocab.txt''', '''tokenizer_file''': '''tokenizer.json'''}

UpperCAmelCase__        =				{
    '''vocab_file''': {
        '''microsoft/mpnet-base''': '''https://huggingface.co/microsoft/mpnet-base/resolve/main/vocab.txt''',
    },
    '''tokenizer_file''': {
        '''microsoft/mpnet-base''': '''https://huggingface.co/microsoft/mpnet-base/resolve/main/tokenizer.json''',
    },
}

UpperCAmelCase__        =				{
    '''microsoft/mpnet-base''': 512,
}

UpperCAmelCase__        =				{
    '''microsoft/mpnet-base''': {'''do_lower_case''': True},
}







class  lowerCamelCase__  (			lowerCAmelCase):
     SCREAMING_SNAKE_CASE__      =     VOCAB_FILES_NAMES
     SCREAMING_SNAKE_CASE__      =     PRETRAINED_VOCAB_FILES_MAP
     SCREAMING_SNAKE_CASE__      =     PRETRAINED_INIT_CONFIGURATION
     SCREAMING_SNAKE_CASE__      =     PRETRAINED_POSITIONAL_EMBEDDINGS_SIZES
     SCREAMING_SNAKE_CASE__      =     MPNetTokenizer
     SCREAMING_SNAKE_CASE__      =     ['''input_ids''', '''attention_mask''']





     def __init__(self						,	UpperCAmelCase=None						,	UpperCAmelCase=None						,	UpperCAmelCase=True						,	UpperCAmelCase="<s>"						,	UpperCAmelCase="</s>"						,	UpperCAmelCase="</s>"						,	UpperCAmelCase="<s>"						,	UpperCAmelCase="[UNK]"						,	UpperCAmelCase="<pad>"						,	UpperCAmelCase="<mask>"						,	UpperCAmelCase=True						,	UpperCAmelCase=None						,	**UpperCAmelCase						,	)	->  Optional[int]:
      super().__init__(
          UpperCAmelCase						,	tokenizer_file=UpperCAmelCase						,	do_lower_case=UpperCAmelCase						,	bos_token=UpperCAmelCase						,	eos_token=UpperCAmelCase						,	sep_token=UpperCAmelCase						,	cls_token=UpperCAmelCase						,	unk_token=UpperCAmelCase						,	pad_token=UpperCAmelCase						,	mask_token=UpperCAmelCase						,	tokenize_chinese_chars=UpperCAmelCase						,	strip_accents=UpperCAmelCase						,	**UpperCAmelCase						,	)

      _lowercase				 =json.loads(self.backend_tokenizer.normalizer.__getstate__()			)
      if (
          pre_tok_state.get('''lowercase'''						,	UpperCAmelCase			) != do_lower_case
          or pre_tok_state.get('''strip_accents'''						,	UpperCAmelCase			) != strip_accents
      ):
       _lowercase				 =getattr(UpperCAmelCase						,	pre_tok_state.pop('''type'''			)			)
       _lowercase				 =do_lower_case
       _lowercase				 =strip_accents
       _lowercase				 =pre_tok_class(**UpperCAmelCase			)

      _lowercase				 =do_lower_case





     @property
     def 	__A   (self			)	->  str:
      if self._mask_token is None:
       if self.verbose:
        logger.error('''Using mask_token, but it is not set yet.'''			)
       return None
      return str(self._mask_token			)





     @mask_token.setter
     def 	__A   (self						,	UpperCAmelCase			)	->  Optional[int]:
      _lowercase				 =AddedToken(UpperCAmelCase						,	lstrip=UpperCAmelCase						,	rstrip=UpperCAmelCase			) if isinstance(UpperCAmelCase						,	UpperCAmelCase			) else value
      _lowercase				 =value





     def 	__A   (self						,	UpperCAmelCase						,	UpperCAmelCase=None			)	->  List[str]:
      _lowercase				 =[self.bos_token_id] + token_ids_a + [self.eos_token_id]
      if token_ids_a is None:
       return output

      return output + [self.eos_token_id] + token_ids_a + [self.eos_token_id]





     def 	__A   (self						,	UpperCAmelCase						,	UpperCAmelCase = None			)	->  List[int]:
      _lowercase				 =[self.sep_token_id]
      _lowercase				 =[self.cls_token_id]

      if token_ids_a is None:
       return len(cls + token_ids_a + sep			) * [0]
      return len(cls + token_ids_a + sep + sep + token_ids_a + sep			) * [0]





     def 	__A   (self						,	UpperCAmelCase						,	UpperCAmelCase = None			)	->  Tuple[str]:
      _lowercase				 =self._tokenizer.model.save(UpperCAmelCase						,	name=UpperCAmelCase			)
      return tuple(UpperCAmelCase			)

