

'''simple docstring'''



import math
import sys

class 			SCREAMING_SNAKE_CASE					:






      '''simple docstring'''






      def __init__(					self :		Dict   ):



          """simple docstring"""





          _snake_case : Optional[int]												=		0
          _snake_case : Tuple												=		[]
          _snake_case : Tuple												=		{}  # To store the pos of node in array




      def 	__UpperCAmelCase			(					self :		Any   ):



          """simple docstring"""





          return self.cur_size == 0




      def 	__UpperCAmelCase			(					self :		Any     ,					snake_case :		List[str]   ):



          """simple docstring"""





          _snake_case : Union[str, Any]												=		self.left(snake_case   )
          _snake_case : int												=		self.right(snake_case   )
          if lc < self.cur_size and self.array(snake_case   )[0] < self.array(snake_case   )[0]:
              _snake_case : Tuple												=		lc
          else:
              _snake_case : str												=		idx
          if rc < self.cur_size and self.array(snake_case   )[0] < self.array(snake_case   )[0]:
              _snake_case : Optional[int]												=		rc
          if smallest != idx:
              self.swap(snake_case     ,					snake_case   )
              self.min_heapify(snake_case   )




      def 	__UpperCAmelCase			(					self :		Union[str, Any]     ,					snake_case :		str   ):



          """simple docstring"""





          _snake_case : Tuple												=		self.cur_size
          self.cur_size += 1
          self.array.append((sys.maxsize, tup[1])   )
          self.decrease_key((sys.maxsize, tup[1])     ,					tup[0]   )




      def 	__UpperCAmelCase			(					self :		List[str]   ):



          """simple docstring"""





          _snake_case : Tuple												=		self.array[0][1]
          _snake_case : Any												=		self.array[self.cur_size - 1]
          self.cur_size -= 1
          self.min_heapify(1   )
          del self.pos[min_node]
          return min_node




      def 	__UpperCAmelCase			(					self :		List[Any]     ,					snake_case :		str   ):



          """simple docstring"""





          return 2 * i + 1




      def 	__UpperCAmelCase			(					self :		int     ,					snake_case :		List[Any]   ):



          """simple docstring"""





          return 2 * i + 2




      def 	__UpperCAmelCase			(					self :		List[Any]     ,					snake_case :		List[Any]   ):



          """simple docstring"""





          return math.floor(i / 2   )




      def 	__UpperCAmelCase			(					self :		Optional[int]     ,					snake_case :		Union[str, Any]     ,					snake_case :		Union[str, Any]   ):



          """simple docstring"""





          _snake_case : List[Any]												=		j
          _snake_case : Tuple												=		i
          _snake_case : Optional[Any]												=		self.array[i]
          _snake_case : Dict												=		self.array[j]
          _snake_case : Optional[int]												=		temp




      def 	__UpperCAmelCase			(					self :		List[str]     ,					snake_case :		Union[str, Any]     ,					snake_case :		int   ):



          """simple docstring"""





          _snake_case : Any												=		self.pos[tup[1]]
          # assuming the new_d is atmost old_d
          _snake_case : Any												=		(new_d, tup[1])
          while idx > 0 and self.array[self.par(snake_case   )][0] > self.array[idx][0]:
              self.swap(snake_case     ,					self.par(snake_case   )   )
              _snake_case : Union[str, Any]												=		self.par(snake_case   )



class 			SCREAMING_SNAKE_CASE					:






      '''simple docstring'''






      def __init__(					self :		List[Any]     ,					snake_case :		Dict   ):



          """simple docstring"""





          _snake_case : str												=		{}  # To store graph: u -> (v,w)
          _snake_case : Optional[int]												=		num  # Number of nodes in graph
          # To store the distance from source vertex
          _snake_case : Tuple												=		[0] * self.num_nodes
          _snake_case : Dict												=		[-1] * self.num_nodes  # To store the path




      def 	__UpperCAmelCase			(					self :		Any     ,					snake_case :		int     ,					snake_case :		Tuple     ,					snake_case :		Any   ):



          """simple docstring"""





          if u in self.adjList:
              self.adjList[u].append((v, w)   )
          else:
              _snake_case : Optional[int]												=		[(v, w)]

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




      def 	__UpperCAmelCase			(					self :		str   ):



          """simple docstring"""





          for u in self.adjList:
              print(snake_case     ,					'->'     ,					' -> '.join(str(F"""{v}({w})"""   ) for v, w in self.adjList[u]   )   )




      def 	__UpperCAmelCase			(					self :		Tuple     ,					snake_case :		Tuple   ):



          """simple docstring"""





          _snake_case : Union[str, Any]												=		[-1] * self.num_nodes
          # src is the source node
          _snake_case : Union[str, Any]												=		0
          _snake_case : Tuple												=		PriorityQueue()
          q.insert((0, src)   )  # (dist from src, node)
          for u in self.adjList:
              if u != src:
                  _snake_case : Union[str, Any]												=		sys.maxsize  # Infinity
                  _snake_case : str												=		-1

          while not q.is_empty():
              _snake_case : List[Any]												=		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]:
                  _snake_case : Optional[int]												=		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)     ,					snake_case   )
                      _snake_case : Union[str, Any]												=		new_dist
                      _snake_case : int												=		u

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




      def 	__UpperCAmelCase			(					self :		str     ,					snake_case :		Tuple   ):



          """simple docstring"""





          print(F"""Distance from node: {src}"""   )
          for u in range(self.num_nodes   ):
              print(F"""Node {u} has distance: {self.dist[u]}"""   )




      def 	__UpperCAmelCase			(					self :		Tuple     ,					snake_case :		Union[str, Any]     ,					snake_case :		Optional[int]   ):



          """simple docstring"""





          _snake_case : Any												=		[]
          _snake_case : Optional[Any]												=		0
          _snake_case : List[Any]												=		dest
          # Backtracking from dest to src
          while self.par[temp] != -1:
              path.append(snake_case   )
              if temp != src:
                  for v, w in self.adjList[temp]:
                      if v == self.par[temp]:
                          cost += w
                          break
              _snake_case : List[str]												=		self.par[temp]
          path.append(snake_case   )
          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: '     ,					snake_case   )


if __name__ == "__main__":
   SCREAMING_SNAKE_CASE_    =   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






'''simple docstring'''



import copy

from ...configuration_utils import PretrainedConfig
from ...utils import logging


SCREAMING_SNAKE_CASE_    =   logging.get_logger(__name__)

SCREAMING_SNAKE_CASE_    =   {}

class 			SCREAMING_SNAKE_CASE					(							lowercase_					):






      '''simple docstring'''






      SCREAMING_SNAKE_CASE__ :				Optional[Any]    =				'''fsmt_decoder'''




      def __init__(					self :		Any     ,					snake_case :		int=0     ,					snake_case :		Dict=0   ):



          """simple docstring"""





          super().__init__()
          _snake_case : int												=		vocab_size
          _snake_case : Dict												=		bos_token_id



class 			SCREAMING_SNAKE_CASE					(							lowercase_					):






      '''simple docstring'''






      SCREAMING_SNAKE_CASE__ :				Union[str, Any]    =				'''fsmt'''
      SCREAMING_SNAKE_CASE__ :				Union[str, Any]    =				{'''num_attention_heads''': '''encoder_attention_heads''', '''hidden_size''': '''d_model'''}




      def __init__(					self :		Optional[int]     ,					snake_case :		Tuple=["en", "de"]     ,					snake_case :		Optional[int]=42024     ,					snake_case :		List[str]=42024     ,					snake_case :		Union[str, Any]="relu"     ,					snake_case :		Optional[Any]=1024     ,					snake_case :		Union[str, Any]=200     ,					snake_case :		int=1024     ,					snake_case :		str=4096     ,					snake_case :		Dict=12     ,					snake_case :		str=16     ,					snake_case :		List[str]=0.0     ,					snake_case :		List[Any]=4096     ,					snake_case :		str=12     ,					snake_case :		str=16     ,					snake_case :		Optional[int]=0.0     ,					snake_case :		Optional[int]=0.0     ,					snake_case :		str=0.1     ,					snake_case :		Tuple=0.0     ,					snake_case :		Optional[int]=0.02     ,					snake_case :		List[str]=2     ,					snake_case :		int=True     ,					snake_case :		Any=True     ,					snake_case :		str=False     ,					snake_case :		Union[str, Any]=5     ,					snake_case :		Dict=1.0     ,					snake_case :		Union[str, Any]=False     ,					snake_case :		Optional[Any]=True     ,					snake_case :		Optional[int]=1     ,					snake_case :		int=0     ,					snake_case :		Optional[int]=2     ,					snake_case :		Optional[Any]=2     ,					**snake_case :		Any     ,					):



          """simple docstring"""





          _snake_case : int												=		langs
          _snake_case : str												=		src_vocab_size
          _snake_case : List[Any]												=		tgt_vocab_size
          _snake_case : Optional[int]												=		d_model  # encoder_embed_dim and decoder_embed_dim

          _snake_case : Optional[Any]												=		encoder_ffn_dim
          _snake_case : Dict												=		encoder_layers
          _snake_case : List[Any]												=		encoder_attention_heads
          _snake_case : Any												=		encoder_layerdrop
          _snake_case : List[str]												=		decoder_layerdrop
          _snake_case : str												=		decoder_ffn_dim
          _snake_case : Union[str, Any]												=		decoder_layers
          _snake_case : Tuple												=		decoder_attention_heads
          _snake_case : str												=		max_position_embeddings
          _snake_case : Dict												=		init_std  # Normal(0, this parameter)
          _snake_case : List[str]												=		activation_function

          _snake_case : Any												=		DecoderConfig(vocab_size=snake_case     ,					bos_token_id=snake_case   )
          if "decoder" in common_kwargs:
              del common_kwargs["decoder"]

          _snake_case : str												=		scale_embedding  # scale factor will be sqrt(d_model) if True

          # 3 Types of Dropout
          _snake_case : int												=		attention_dropout
          _snake_case : List[Any]												=		activation_dropout
          _snake_case : Optional[int]												=		dropout

          _snake_case : Union[str, Any]												=		use_cache
          super().__init__(
              pad_token_id=snake_case     ,					bos_token_id=snake_case     ,					eos_token_id=snake_case     ,					decoder_start_token_id=snake_case     ,					is_encoder_decoder=snake_case     ,					tie_word_embeddings=snake_case     ,					forced_eos_token_id=snake_case     ,					max_length=snake_case     ,					num_beams=snake_case     ,					length_penalty=snake_case     ,					early_stopping=snake_case     ,					**snake_case     ,					)




      def 	__UpperCAmelCase			(					self :		Optional[int]   ):



          """simple docstring"""





          _snake_case : Any												=		copy.deepcopy(self.__dict__   )
          _snake_case : str												=		self.decoder.to_dict()
          _snake_case : Dict												=		self.__class__.model_type
          return output



