





class        SCREAMING_SNAKE_CASE     :


   def __init__(					self    :       Any )->     str:





     """simple docstring"""







     lowercase__			    =						0
     lowercase__			    =						0
     lowercase__			    =						{}


   def  SCREAMING_SNAKE_CASE_							(					self    :       Any    ,  a    :       Tuple )->     Dict:





     """simple docstring"""







     if vertex not in self.adjacency:
       lowercase__			    =						{}
       self.num_vertices += 1


   def  SCREAMING_SNAKE_CASE_							(					self    :       str    ,  a    :       str    ,  a    :       Union[str, Any]    ,  a    :       Dict )->     Tuple:





     """simple docstring"""







     self.add_vertex(a )
     self.add_vertex(a )

     if head == tail:
       return

     lowercase__			    =						weight
     lowercase__			    =						weight


   def  SCREAMING_SNAKE_CASE_							(					self    :       int )->     int:





     """simple docstring"""







     lowercase__			    =						self.get_edges()
     for edge in edges:
       lowercase__    ,					lowercase__    ,					lowercase__			    =						edge
       edges.remove((tail, head, weight) )
     for i in range(len(a ) ):
       lowercase__			    =						list(edges[i] )

     edges.sort(key=lambda a : e[2] )
     for i in range(len(a ) - 1 ):
       if edges[i][2] >= edges[i + 1][2]:
         lowercase__			    =						edges[i][2] + 1
     for edge in edges:
       lowercase__    ,					lowercase__    ,					lowercase__			    =						edge
       lowercase__			    =						weight
       lowercase__			    =						weight


   def __str__(					self    :       int )->     int:





     """simple docstring"""







     lowercase__			    =						''
     for tail in self.adjacency:
       for head in self.adjacency[tail]:
         lowercase__			    =						self.adjacency[head][tail]
         string += f"""{head} -> {tail} == {weight}\n"""
     return string.rstrip('\n' )


   def  SCREAMING_SNAKE_CASE_							(					self    :       Optional[Any] )->     Optional[int]:





     """simple docstring"""







     lowercase__			    =						[]
     for tail in self.adjacency:
       for head in self.adjacency[tail]:
         output.append((tail, head, self.adjacency[head][tail]) )
     return output


   def  SCREAMING_SNAKE_CASE_							(					self    :       Tuple )->     str:





     """simple docstring"""







     return self.adjacency.keys()


   @staticmethod
   def  SCREAMING_SNAKE_CASE_							(					a    :       List[str]=None    ,  a    :       Optional[int]=None )->     int:





     """simple docstring"""







     lowercase__			    =						Graph()
     if vertices is None:
       lowercase__			    =						[]
     if edges is None:
       lowercase__			    =						[]
     for vertex in vertices:
       g.add_vertex(a )
     for edge in edges:
       g.add_edge(*a )
     return g
   class        SCREAMING_SNAKE_CASE     :


      def __init__(					self    :       List[Any] )->     str:





        """simple docstring"""







        lowercase__			    =						{}
        lowercase__			    =						{}


      def __len__(					self    :       Union[str, Any] )->     Union[str, Any]:





        """simple docstring"""







        return len(self.parent )


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





        """simple docstring"""







        if item in self.parent:
          return self.find(a )

        lowercase__			    =						item
        lowercase__			    =						0
        return item


      def  SCREAMING_SNAKE_CASE_							(					self    :       str    ,  a    :       Union[str, Any] )->     Union[str, Any]:





        """simple docstring"""







        if item not in self.parent:
          return self.make_set(a )
        if item != self.parent[item]:
          lowercase__			    =						self.find(self.parent[item] )
        return self.parent[item]


      def  SCREAMING_SNAKE_CASE_							(					self    :       Any    ,  a    :       Union[str, Any]    ,  a    :       str )->     List[str]:





        """simple docstring"""







        lowercase__			    =						self.find(a )
        lowercase__			    =						self.find(a )

        if roota == roota:
          return roota

        if self.rank[roota] > self.rank[roota]:
          lowercase__			    =						roota
          return roota

        if self.rank[roota] < self.rank[roota]:
          lowercase__			    =						roota
          return roota

        if self.rank[roota] == self.rank[roota]:
          self.rank[roota] += 1
          lowercase__			    =						roota
          return roota
        return None






   @staticmethod
   def  SCREAMING_SNAKE_CASE_							(					a    :       Tuple )->     Union[str, Any]:





     """simple docstring"""







     lowercase__			    =						graph.num_vertices

     lowercase__			    =						Graph.UnionFind()
     lowercase__			    =						[]
     while num_components > 1:
       lowercase__			    =						{}
       for vertex in graph.get_vertices():
         lowercase__			    =						-1

       lowercase__			    =						graph.get_edges()
       for edge in edges:
         lowercase__    ,					lowercase__    ,					lowercase__			    =						edge
         edges.remove((tail, head, weight) )
       for edge in edges:
         lowercase__    ,					lowercase__    ,					lowercase__			    =						edge
         lowercase__			    =						union_find.find(a )
         lowercase__			    =						union_find.find(a )
         if seta != seta:
           if cheap_edge[seta] == -1 or cheap_edge[seta][2] > weight:
             lowercase__			    =						[head, tail, weight]

           if cheap_edge[seta] == -1 or cheap_edge[seta][2] > weight:
             lowercase__			    =						[head, tail, weight]
       for vertex in cheap_edge:
         if cheap_edge[vertex] != -1:
           lowercase__    ,					lowercase__    ,					lowercase__			    =						cheap_edge[vertex]
           if union_find.find(a ) != union_find.find(a ):
             union_find.union(a    ,  a )
             mst_edges.append(cheap_edge[vertex] )
             lowercase__			    =						num_components - 1
     lowercase__			    =						Graph.build(edges=a )
     return mst









def     __UpperCamelCase						(_SCREAMING_SNAKE_CASE = 50	)       ->     int:
  lowercase__			    =						[1] * (length + 1)

  for row_length in range(3	,		length + 1	):
    for block_length in range(3	,		row_length + 1	):
      for block_start in range(row_length - block_length	):
        ways_number[row_length] += ways_number[
            row_length - block_start - block_length - 1
        ]

      ways_number[row_length] += 1

  return ways_number[length]


if __name__ == "__main__":
      print(f'''{solution() = }''')


