
'''simple docstring'''
from __future__ import annotations

lowercase__						       =      {
    "A": ["B", "C", "E"],
    "B": ["A", "D", "E"],
    "C": ["A", "F", "G"],
    "D": ["B"],
    "E": ["A", "B", "D"],
    "F": ["C"],
    "G": ["C"],
}






class 	snake_case__       :







		"""simple docstring"""

		def __init__(      self				:			Dict  ,	UpperCamelCase__				:			dict[str, list[str]]  ,	UpperCamelCase__				:			str      )						->			None:






				"""simple docstring"""







				snake_case  :       Any     			=						graph
				# mapping node to its parent in resulting breadth first tree
				snake_case  :       dict[str, str | None]     			=						{}
				snake_case  :       Union[str, Any]     			=						source_vertex



		def       lowerCAmelCase				(      self				:			Optional[Any]      )						->			None:






				"""simple docstring"""







				snake_case  :       Union[str, Any]     			=						{self.source_vertex}
				snake_case  :       Optional[int]     			=						None
				snake_case  :       int     			=						[self.source_vertex]  # first in first out queue

				while queue:
						snake_case  :       Union[str, Any]     			=						queue.pop(0      )
						for adjacent_vertex in self.graph[vertex]:
								if adjacent_vertex not in visited:
										visited.add(UpperCamelCase__      )
										snake_case  :       Dict     			=						vertex
										queue.append(UpperCamelCase__      )



		def       lowerCAmelCase				(      self				:			Tuple  ,	UpperCamelCase__				:			str      )						->			str:






				"""simple docstring"""







				if target_vertex == self.source_vertex:
						return self.source_vertex

				snake_case  :       Optional[Any]     			=						self.parent.get(UpperCamelCase__      )
				if target_vertex_parent is None:
						snake_case  :       str     			=						(
						    f'No path from vertex: {self.source_vertex} to vertex: {target_vertex}'
						)
						raise ValueError(UpperCamelCase__      )

				return self.shortest_path(UpperCamelCase__      ) + f'->{target_vertex}'


if __name__ == "__main__":
						lowercase__						       =      Graph(graph, "G")
						g.breath_first_search()
						print(g.shortest_path("D"))
						print(g.shortest_path("G"))
						print(g.shortest_path("Foo"))




'''simple docstring'''
import numpy as np




def    _UpperCamelCase						(       SCREAMING_SNAKE_CASE__			)  ->							np.ndarray:


		'''simple docstring'''


		return 1 / (1 + np.exp(-vector			))




def    _UpperCamelCase						(       SCREAMING_SNAKE_CASE__			)  ->							np.ndarray:


		'''simple docstring'''


		return vector * sigmoid(SCREAMING_SNAKE_CASE__			)


if __name__ == "__main__":
						import doctest

						doctest.testmod()


