


from __future__ import annotations

from typing import Any






class      UpperCamelCase					:


   '''simple docstring'''







   def __init__(     self   ,							UpperCamelCase_		):
        lowercase_       :List[str]     =       num_of_nodes
        lowercase_       :list[list[int]]     =       []
        lowercase_       :dict[int, int]     =       {}
   def 		UpperCamelCase  (     self   ,							UpperCamelCase_   ,							UpperCamelCase_   ,							UpperCamelCase_		):
        self.m_edges.append([u_node, v_node, weight]		)
   def 		UpperCamelCase  (     self   ,							UpperCamelCase_		):

        if self.m_component[u_node] == u_node:
             return u_node
        return self.find_component(self.m_component[u_node]		)
   def 		UpperCamelCase  (     self   ,							UpperCamelCase_		):

        if self.m_component[u_node] != u_node:
             for k in self.m_component:
                  lowercase_       :str     =       self.find_component(UpperCamelCase_		)
   def 		UpperCamelCase  (     self   ,							UpperCamelCase_   ,							UpperCamelCase_   ,							UpperCamelCase_		):

        if component_size[u_node] <= component_size[v_node]:
             lowercase_       :List[Any]     =       v_node
             component_size[v_node] += component_size[u_node]
             self.set_component(UpperCamelCase_		)

        elif component_size[u_node] >= component_size[v_node]:
             lowercase_       :List[Any]     =       self.find_component(UpperCamelCase_		)
             component_size[u_node] += component_size[v_node]
             self.set_component(UpperCamelCase_		)




   def 		UpperCamelCase  (     self		):
        lowercase_       :int     =       []
        lowercase_       :str     =       0

        lowercase_       :list[Any]     =       [-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_       :List[Any]     =       self.m_num_of_nodes

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

                  lowercase_       :Optional[int]     =       self.m_component[u]
                  lowercase_       :List[str]     =       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_       :List[str]     =       [u, v, w]

             for edge in minimum_weight_edge:
                  if isinstance(UpperCamelCase_   ,							UpperCamelCase_		):
                       lowercase_    ,      lowercase_    ,      lowercase_       :int     =       edge

                       lowercase_       :List[Any]     =       self.m_component[u]
                       lowercase_       :Dict     =       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_       :str     =       [-1] * self.m_num_of_nodes
        print(f"The total weight of the minimal spanning tree is: {mst_weight}"		)




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







if __name__ == "__main__":
   import doctest

   doctest.testmod()





def     UpperCamelCase    (      _a       ,		_a       ,		_a		)					->							int:
     '''simple docstring'''





     def count_of_possible_combinations(_a		) -> int:
          if target < 0:
               return 0
          if target == 0:
               return 1
          return sum(count_of_possible_combinations(target - item		) for item in array		)

     return count_of_possible_combinations(_a		)




def     UpperCamelCase    (      _a       ,		_a       ,		_a		)					->							int:
     '''simple docstring'''





     def count_of_possible_combinations_with_dp_array(
         _a       ,		_a		) -> int:
          if target < 0:
               return 0
          if target == 0:
               return 1
          if dp_array[target] != -1:
               return dp_array[target]
          lowercase_       :Optional[int]     =       sum(
              count_of_possible_combinations_with_dp_array(target - item       ,		_a		)
              for item in array		)
          lowercase_       :List[Any]     =       answer
          return answer

     lowercase_       :Dict     =       [-1] * (target + 1)
     return count_of_possible_combinations_with_dp_array(_a       ,		_a		)




def     UpperCamelCase    (      _a       ,		_a       ,		_a		)					->							int:
     '''simple docstring'''





     lowercase_       :Optional[int]     =       [0] * (target + 1)
     lowercase_       :int     =       1

     for i in range(1       ,		target + 1		):
          for j in range(_a		):
               if i - array[j] >= 0:
                    dp_array[i] += dp_array[i - array[j]]

     return dp_array[target]


if __name__ == "__main__":
   import doctest

   doctest.testmod()
   SCREAMING_SNAKE_CASE       :		Optional[Any]         =				3
   SCREAMING_SNAKE_CASE       :		Tuple         =				5
   SCREAMING_SNAKE_CASE       :		List[Any]         =				[1, 2, 5]
   print(combination_sum_iv(n, array, target))

