code: 
  
  
  
  
  
  __lowerCAmelCase     =			[
      ["ab-e1", "ac-e3", "ad-e5", "bc-e4", "bd-e2", "be-e6", "bh-e12", "cd-e2", "ce-e4",
       "de-e1", "df-e8", "dg-e5", "dh-e10", "ef-e3", "eg-e2", "fg-e6", "gh-e6", "hi-e3"],
      ["ab-e1", "ac-e3", "ad-e5", "bc-e4", "bd-e2", "be-e6", "cd-e2", "de-e1", "df-e8",
       "ef-e3", "eg-e2", "fg-e6"],
      ["ab-e1", "ac-e3", "bc-e4", "bd-e2", "de-e1", "df-e8", "dg-e5", "ef-e3", "eg-e2",
       "eh-e12", "fg-e6", "fh-e10", "gh-e6"],
      ["ab-e1", "ac-e3", "bc-e4", "bd-e2", "bh-e12", "cd-e2", "df-e8", "dh-e10"],
      ["ab-e1", "ac-e3", "ad-e5", "bc-e4", "bd-e2", "cd-e2", "ce-e4", "de-e1", "df-e8",
       "dg-e5", "ef-e3", "eg-e2", "fg-e6"]
  ]
  
  def     a						(      _lowercase   :     Union[str, Any]       )     ->int:
  		UpperCamelCase__         =	set()
  		for row in edge_array:
  				for item in row:
  						distinct_edge.add(item[0]       )
  		return list(_lowercase       )
  
  def     a						(      _lowercase   :     Union[str, Any] ,						_lowercase   :     Tuple       )     ->Tuple:
  		UpperCamelCase__         =	["""0"""] * len(_lowercase       )
  		for i, row in enumerate(_lowercase       ):
  				for item in row:
  						if distinct_edge in item[0]:
  								UpperCamelCase__         =	"""1"""
  								break
  		return "".join(_lowercase       )
  
  def     a						(      _lowercase   :     Optional[Any]       )     ->Optional[Any]:
  		UpperCamelCase__         =	get_distinct_edge(_lowercase       )
  		UpperCamelCase__         =	{}
  
  		for item in distinct_edge:
  				UpperCamelCase__         =	get_bitcode(_lowercase ,						_lowercase       )
  				# print('bit',bit)
  				# bt=''.join(bit)
  				UpperCamelCase__         =	bit.count("""1"""       )
  				UpperCamelCase__         =	[s, bit]
  		# Store [Distinct edge, WT(Bitcode), Bitcode] in descending order
  		UpperCamelCase__         =	[
  		    [k, v[0], v[1]]
  		    for k, v in sorted(frequency_table.items() ,						key=lambda _lowercase       : v[1][0] ,						reverse=_lowercase       )
  		]
  		return sorted_frequency_table
  
  def     a						(      _lowercase   :     str       )     ->Union[str, Any]:
  		UpperCamelCase__         =	{}
  		for _, item in enumerate(_lowercase       ):
  				nodes.setdefault(item[2] ,						[]       ).append(item[0]       )
  		return nodes
  
  def     a						(      _lowercase   :     str       )     ->List[Any]:
  		UpperCamelCase__         =	{}
  		for key, value in nodes.items():
  				UpperCamelCase__         =	value
  		return cluster
  
  def     a						(      _lowercase   :     str       )     ->Optional[Any]:
  		return [i * 1_0_0 / len(_lowercase       ) for i in cluster]
  
  def     a						(      )     ->None:
  		print("""\nNodes\n"""       )
  		for key, value in nodes.items():
  				print(_lowercase ,						_lowercase       )
  		print("""\nSupport\n"""       )
  		print(_lowercase       )
  		print("""\n Cluster \n"""       )
  		for key, value in sorted(cluster.items() ,						reverse=_lowercase       ):
  				print(_lowercase ,						_lowercase       )
  		print("""\n Graph\n"""       )
  		for key, value in graph.items():
  				print(_lowercase ,						_lowercase       )
  		print("""\n Edge List of Frequent subgraphs \n"""       )
  		for edge_list in freq_subgraph_edge_list:
  				print(_lowercase       )
  
  def     a						(      _lowercase   :     Any ,						_lowercase   :     int ,						_lowercase   :     Any ,						_lowercase   :     Union[str, Any]       )     ->Tuple:
  		for i in cluster[ca]:
  				UpperCamelCase__         =	0
  				UpperCamelCase__         =	ca + 1
  				while ca < max(cluster.keys()       ):
  						for j in cluster[ca]:
  								if int(_lowercase ,						2       ) & int(_lowercase ,						2       ) == int(_lowercase ,						2       ):
  										if tuple(nodes[i]       ) in graph:
  												graph[tuple(nodes[i]       )].append(nodes[j]       )
  										else:
  												UpperCamelCase__         =	[nodes[j]]
  										count += 1
  						if count == 0:
  								UpperCamelCase__         =	ca + 1
  						else:
  								break
  
  def     a						(      _lowercase   :     Dict ,						_lowercase   :     str       )     ->Any:
  		UpperCamelCase__         =	cluster[max(cluster.keys()       )]
  		UpperCamelCase__         =	"""Header"""
  		UpperCamelCase__         =	{}
  		for i in x:
  				if (["Header"],) in graph:
  						graph[(["Header"],)].append(x[i]       )
  				else:
  						UpperCamelCase__         =	[x[i]]
  		for i in x:
  				UpperCamelCase__         =	[["""Header"""]]
  		UpperCamelCase__         =	1
  		while i < max(_lowercase       ) - 1:
  				create_edge(_lowercase ,						_lowercase ,						_lowercase ,						_lowercase       )
  				UpperCamelCase__         =	i + 1
  		return graph
  
  def     a						(      _lowercase   :     Dict ,						_lowercase   :     int ,						_lowercase   :     List[str] ,						_lowercase   :     Union[str, Any]=None       )     ->int:
  		UpperCamelCase__         =	(path or []) + [start]
  		if start == end:
  				paths.append(_lowercase       )
  		for node in graph[start]:
  				if tuple(_lowercase       ) not in path:
  						my_dfs(_lowercase ,						tuple(_lowercase       ) ,						_lowercase ,						_lowercase       )
  
  def     a						(      _lowercase   :     Any ,						_lowercase   :     List[str] ,						_lowercase   :     Any       )     ->Union[str, Any]:
  		UpperCamelCase__         =	int(s / 1_0_0 * (len(_lowercase       ) - 1)       )
  		for i in cluster[k]:
  				my_dfs(_lowercase ,						tuple(cluster[k][i]       ) ,						(["""Header"""],)       )
  
  def     a						(      _lowercase   :     int       )     ->Optional[Any]:
  		UpperCamelCase__         =	[]
  		for edges in paths:
  				UpperCamelCase__         =	[]
  				for j in range(len(_lowercase       ) - 1       ):
  						UpperCamelCase__         =	list(edges[j]       )
  						for e in temp:
  								UpperCamelCase__         =	(e[0], e[1])
  								el.append(_lowercase       )
  				freq_sub_el.append(_lowercase       )
  		return freq_sub_el
  
  def     a						(      _lowercase   :     Union[str, Any]       )     ->Optional[int]:
  		for i in range(len(_lowercase       )       ):
  				for j in range(len(edge_array[i]       )       ):
  						UpperCamelCase__         =	edge_array[i][j].split("""-"""       )
  						UpperCamelCase__         =	t
  
  
  if __name__ == "__main__":
  				preprocess(edge_array)
  				__lowerCAmelCase     =			get_frequency_table(edge_array)
  				__lowerCAmelCase     =			get_nodes(frequency_table)
  				__lowerCAmelCase     =			get_cluster(nodes)
  				__lowerCAmelCase     =			get_support(cluster)
  				__lowerCAmelCase     =			construct_graph(cluster, nodes)
  				find_freq_subgraph_given_support(60, cluster, graph)
  				__lowerCAmelCase     =			[]
  				__lowerCAmelCase     =			freq_subgraphs_edge_list(paths)
  				print_all()
  
  
  
  
  
  
style_context: 
  
  
  
  
  
  def     a						(      _lowercase   :     float ,						_lowercase   :     int = 2       )     ->float:
  		return round((float(_lowercase       ) * 9 / 5) + 3_2 ,						_lowercase       )
  
  def     a						(      _lowercase   :     float ,						_lowercase   :     int = 2       )     ->float:
  		return round(float(_lowercase       ) + 273.15 ,						_lowercase       )
  
  def     a						(      _lowercase   :     float ,						_lowercase   :     int = 2       )     ->float:
  		return round((float(_lowercase       ) * 9 / 5) + 491.67 ,						_lowercase       )
  
  def     a						(      _lowercase   :     float ,						_lowercase   :     int = 2       )     ->float:
  		return round((float(_lowercase       ) - 3_2) * 5 / 9 ,						_lowercase       )
  
  def     a						(      _lowercase   :     float ,						_lowercase   :     int = 2       )     ->float:
  		return round(((float(_lowercase       ) - 3_2) * 5 / 9) + 273.15 ,						_lowercase       )
  
  def     a						(      _lowercase   :     float ,						_lowercase   :     int = 2       )     ->float:
  		return round(float(_lowercase       ) + 459.67 ,						_lowercase       )
  
  def     a						(      _lowercase   :     float ,						_lowercase   :     int = 2       )     ->float:
  		return round(float(_lowercase       ) - 273.15 ,						_lowercase       )
  
  def     a						(      _lowercase   :     float ,						_lowercase   :     int = 2       )     ->float:
  		return round(((float(_lowercase       ) - 273.15) * 9 / 5) + 3_2 ,						_lowercase       )
  
  def     a						(      _lowercase   :     float ,						_lowercase   :     int = 2       )     ->float:
  		return round((float(_lowercase       ) * 9 / 5) ,						_lowercase       )
  
  def     a						(      _lowercase   :     float ,						_lowercase   :     int = 2       )     ->float:
  		return round((float(_lowercase       ) - 491.67) * 5 / 9 ,						_lowercase       )
  
  def     a						(      _lowercase   :     float ,						_lowercase   :     int = 2       )     ->float:
  		return round(float(_lowercase       ) - 459.67 ,						_lowercase       )
  
  def     a						(      _lowercase   :     float ,						_lowercase   :     int = 2       )     ->float:
  		return round((float(_lowercase       ) * 5 / 9) ,						_lowercase       )
  
  def     a						(      _lowercase   :     float ,						_lowercase   :     int = 2       )     ->float:
  		return round((float(_lowercase       ) * 1.25 + 273.15) ,						_lowercase       )
  
  def     a						(      _lowercase   :     float ,						_lowercase   :     int = 2       )     ->float:
  		return round((float(_lowercase       ) * 2.25 + 3_2) ,						_lowercase       )
  
  def     a						(      _lowercase   :     float ,						_lowercase   :     int = 2       )     ->float:
  		return round((float(_lowercase       ) * 1.25) ,						_lowercase       )
  
  def     a						(      _lowercase   :     float ,						_lowercase   :     int = 2       )     ->float:
  		return round((float(_lowercase       ) * 2.25 + 3_2 + 459.67) ,						_lowercase       )
  
  
  if __name__ == "__main__":
  				import doctest
  
  				doctest.testmod()
  
  
  
  
  
  