

"""simple docstring"""





from ..utils import DummyObject, requires_backends




class  _lowerCAmelCase  (     metaclass=__lowercase       ):







 """simple docstring"""







 __UpperCAmelCase     : Union[str, Any]       		=     ['''transformers''', '''torch''', '''note_seq''']


 def __init__(      self							:      Dict, *UpperCAmelCase__							:      List[str], **UpperCAmelCase__							:      Union[str, Any]     ):
    requires_backends(self, ["transformers", "torch", "note_seq"]     )


 @classmethod
 def  _lowercase			(      cls							:      Any, *UpperCAmelCase__							:      Optional[Any], **UpperCAmelCase__							:      Any     ):
    requires_backends(cls, ["transformers", "torch", "note_seq"]     )



 @classmethod
 def  _lowercase			(      cls							:      Union[str, Any], *UpperCAmelCase__							:      Dict, **UpperCAmelCase__							:      Optional[int]     ):
    requires_backends(cls, ["transformers", "torch", "note_seq"]     )







"""simple docstring"""





from __future__ import annotations

from typing import Any




class  _lowerCAmelCase  :







 """simple docstring"""







 def __init__(      self							:      Union[str, Any], UpperCAmelCase__							:      int     ):
    __lowercase								=						num_of_nodes
    __lowercase								=						[]
    __lowercase								=						{}


 def  _lowercase			(      self							:      Tuple, UpperCAmelCase__							:      int, UpperCAmelCase__							:      int, UpperCAmelCase__							:      int     ):
    self.m_edges.append([u_node, v_node, weight]     )


 def  _lowercase			(      self							:      Dict, UpperCAmelCase__							:      int     ):

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


 def  _lowercase			(      self							:      Dict, UpperCAmelCase__							:      int     ):

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


 def  _lowercase			(      self							:      str, UpperCAmelCase__							:      list[int], UpperCAmelCase__							:      int, UpperCAmelCase__							:      int     ):

    if component_size[u_node] <= component_size[v_node]:
       __lowercase								=						v_node
       component_size[v_node] += component_size[u_node]
       self.set_component(UpperCAmelCase__     )

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



 def  _lowercase			(      self							:      Tuple     ):
    __lowercase								=						[]
    __lowercase								=						0

    __lowercase								=						[-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     )

    __lowercase								=						self.m_num_of_nodes

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

          __lowercase								=						self.m_component[u]
          __lowercase								=						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
                ):
                   __lowercase								=						[u, v, w]

       for edge in minimum_weight_edge:
          if isinstance(UpperCAmelCase__, UpperCAmelCase__     ):
             __lowercase		,__lowercase		,__lowercase								=						edge

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

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

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







def   _A  (  )     ->						None:
   '''simple docstring'''




if __name__ == "__main__":
   import doctest

   doctest.testmod()




