





"""simple docstring"""






from __future__ import annotations

from typing import Any





class       snake_case_       :



	"""simple docstring"""

	def __init__(      self  ,					__a						):


					"""simple docstring"""

					A__							 =       num_of_nodes
					A__							 =       []
					A__							 =       {}


	def       _UpperCAmelCase						(      self  ,					__a  ,					__a  ,					__a						):


					"""simple docstring"""

					self.m_edges.append([u_node, v_node, weight]						)


	def       _UpperCAmelCase						(      self  ,					__a						):


					"""simple docstring"""

					if self.m_component[u_node] == u_node:
									return u_node
					return self.find_component(self.m_component[u_node]						)


	def       _UpperCAmelCase						(      self  ,					__a						):


					"""simple docstring"""

					if self.m_component[u_node] != u_node:
									for k in self.m_component:
													A__							 =       self.find_component(A_						)


	def       _UpperCAmelCase						(      self  ,					__a  ,					__a  ,					__a						):


					"""simple docstring"""

					if component_size[u_node] <= component_size[v_node]:
									A__							 =       v_node
									component_size[v_node] += component_size[u_node]
									self.set_component(A_						)

					elif component_size[u_node] >= component_size[v_node]:
									A__							 =       self.find_component(A_						)
									component_size[u_node] += component_size[v_node]
									self.set_component(A_						)






	def       _UpperCAmelCase						(      self						):


					"""simple docstring"""

					A__							 =       []
					A__							 =       0

					A__							 =       [-1] * self.m_num_of_nodes

					# A list of components (initialized to all of the nodes)
					for node in range(self.m_num_of_nodes						):
									self.m_component.update({node: node}						)
									component_size.append(1						)

					A__							 =       self.m_num_of_nodes

					while num_of_components > 1:
									for edge in self.m_edges:
													A__							 =       edge

													A__							 =       self.m_component[u]
													A__							 =       self.m_component[v]

													if u_component != v_component:

																	for component in (u_component, v_component):
																					if (
																					    minimum_weight_edge[component] == -1
																					    or minimum_weight_edge[component][2] > w
																					):
																									A__							 =       [u, v, w]

									for edge in minimum_weight_edge:
													if isinstance(A_  ,					A_						):
																	A__							 =       edge

																	A__							 =       self.m_component[u]
																	A__							 =       self.m_component[v]

																	if u_component != v_component:
																					mst_weight += w
																					self.union(A_  ,					A_  ,					A_						)
																					print(f'''Added edge [{u} - {v}]\nAdded weight: {w}\n'''						)
																					num_of_components -= 1

									A__							 =       [-1] * self.m_num_of_nodes
					print(f'''The total weight of the minimal spanning tree is: {mst_weight}'''						)





def  __lowerCamelCase					(					):
				pass


if __name__ == "__main__":
					import doctest

					doctest.testmod()










"""simple docstring"""






import numpy as np



def  __lowerCamelCase					(					lowerCAmelCase__				):
				return 1 / (1 + np.exp(-vector				))



def  __lowerCamelCase					(					lowerCAmelCase__				):
				return vector * sigmoid(lowerCAmelCase__				)


if __name__ == "__main__":
					import doctest

					doctest.testmod()


