"""simple docstring"""




import math
import sys




class        lowercase_  :



	"""simple docstring"""





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


	def       SCREAMING_SNAKE_CASE_    (							self    )						->Optional[int]:
								return self.cur_size == 0


	def       SCREAMING_SNAKE_CASE_    (							self		,      __SCREAMING_SNAKE_CASE    )						->Tuple:
								lowerCAmelCase     		=		self.left(lowercase__    )
								lowerCAmelCase     		=		self.right(lowercase__    )
								if lc < self.cur_size and self.array(lowercase__    )[0] < self.array(lowercase__    )[0]:
															lowerCAmelCase     		=		lc
								else:
															lowerCAmelCase     		=		idx
								if rc < self.cur_size and self.array(lowercase__    )[0] < self.array(lowercase__    )[0]:
															lowerCAmelCase     		=		rc
								if smallest != idx:
															self.swap(lowercase__		,      lowercase__    )
															self.min_heapify(lowercase__    )


	def       SCREAMING_SNAKE_CASE_    (							self		,      __SCREAMING_SNAKE_CASE    )						->int:
								lowerCAmelCase     		=		self.cur_size
								self.cur_size += 1
								self.array.append((sys.maxsize, tup[1])    )
								self.decrease_key((sys.maxsize, tup[1])		,      tup[0]    )


	def       SCREAMING_SNAKE_CASE_    (							self    )						->Optional[int]:
								lowerCAmelCase     		=		self.array[0][1]
								lowerCAmelCase     		=		self.array[self.cur_size - 1]
								self.cur_size -= 1
								self.min_heapify(1    )
								del self.pos[min_node]
								return min_node


	def       SCREAMING_SNAKE_CASE_    (							self		,      __SCREAMING_SNAKE_CASE    )						->Optional[int]:
								return 2 * i + 1


	def       SCREAMING_SNAKE_CASE_    (							self		,      __SCREAMING_SNAKE_CASE    )						->Optional[int]:
								return 2 * i + 2


	def       SCREAMING_SNAKE_CASE_    (							self		,      __SCREAMING_SNAKE_CASE    )						->List[str]:
								return math.floor(i / 2    )


	def       SCREAMING_SNAKE_CASE_    (							self		,      __SCREAMING_SNAKE_CASE		,      __SCREAMING_SNAKE_CASE    )						->str:
								lowerCAmelCase     		=		j
								lowerCAmelCase     		=		i
								lowerCAmelCase     		=		self.array[i]
								lowerCAmelCase     		=		self.array[j]
								lowerCAmelCase     		=		temp




	def       SCREAMING_SNAKE_CASE_    (							self		,      __SCREAMING_SNAKE_CASE		,      __SCREAMING_SNAKE_CASE    )						->int:
								lowerCAmelCase     		=		self.pos[tup[1]]
								# assuming the new_d is atmost old_d
								lowerCAmelCase     		=		(new_d, tup[1])
								while idx > 0 and self.array[self.par(lowercase__    )][0] > self.array[idx][0]:
															self.swap(lowercase__		,      self.par(lowercase__    )    )
															lowerCAmelCase     		=		self.par(lowercase__    )




class        lowercase_  :



	"""simple docstring"""





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


	def       SCREAMING_SNAKE_CASE_    (							self		,      __SCREAMING_SNAKE_CASE		,      __SCREAMING_SNAKE_CASE		,      __SCREAMING_SNAKE_CASE    )						->List[str]:






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

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


	def       SCREAMING_SNAKE_CASE_    (							self    )						->List[Any]:






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


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

								while not q.is_empty():
															lowerCAmelCase     		=		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]:
																						lowerCAmelCase     		=		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)		,      lowercase__    )
																													lowerCAmelCase     		=		new_dist
																													lowerCAmelCase     		=		u

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


	def       SCREAMING_SNAKE_CASE_    (							self		,      __SCREAMING_SNAKE_CASE    )						->List[Any]:
								print(F"Distance from node: {src}"    )
								for u in range(self.num_nodes    ):
															print(F"Node {u} has distance: {self.dist[u]}"    )




	def       SCREAMING_SNAKE_CASE_    (							self		,      __SCREAMING_SNAKE_CASE		,      __SCREAMING_SNAKE_CASE    )						->List[Any]:
								lowerCAmelCase     		=		[]
								lowerCAmelCase     		=		0
								lowerCAmelCase     		=		dest
								# Backtracking from dest to src
								while self.par[temp] != -1:
															path.append(lowercase__    )
															if temp != src:
																						for v, w in self.adjList[temp]:
																													if v == self.par[temp]:
																																				cost += w
																																				break
															lowerCAmelCase     		=		self.par[temp]
								path.append(lowercase__    )
								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: '''		,      lowercase__    )


if __name__ == "__main__":
	lowercase__      :    Optional[Any]          =     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, 1_1)
	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, 1_4)
	graph.add_edge(4, 5, 1_0)
	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 warnings

from .generation import FlaxGenerationMixin




class        lowercase_  (  UpperCamelCase_						):



	"""simple docstring"""





	warnings.warn(
	    """Importing `FlaxGenerationMixin` from `src/transformers/generation_flax_utils.py` is deprecated and will """
	    """be removed in Transformers v5. Import as `from transformers import FlaxGenerationMixin` instead."""				,					UpperCamelCase_				,					)



