code: 
  """simple docstring"""
  __magic_name__		       =				[
      ['''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     __lowerCamelCase  (		UpperCamelCase__      ):
  
  
  	"""simple docstring"""
  
  
  
  
  
  
  	_UpperCAmelCase =						set()
  	for row in edge_array:
  		for item in row:
  			distinct_edge.add(item[0]      )
  	return list(UpperCamelCase__      )
  
  
  
  
  def     __lowerCamelCase  (		UpperCamelCase__				,     UpperCamelCase__      ):
  
  
  	"""simple docstring"""
  
  
  
  
  
  
  	_UpperCAmelCase =						["0"] * len(UpperCamelCase__      )
  	for i, row in enumerate(UpperCamelCase__      ):
  		for item in row:
  			if distinct_edge in item[0]:
  				_UpperCAmelCase =						"1"
  				break
  	return "".join(UpperCamelCase__      )
  
  
  
  
  def     __lowerCamelCase  (		UpperCamelCase__      ):
  
  
  	"""simple docstring"""
  
  
  
  
  
  
  	_UpperCAmelCase =						get_distinct_edge(UpperCamelCase__      )
  	_UpperCAmelCase =						{}
  
  	for item in distinct_edge:
  		_UpperCAmelCase =						get_bitcode(UpperCamelCase__				,     UpperCamelCase__      )
  		# 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 UpperCamelCase__      : v[1][0]				,     reverse=UpperCamelCase__      )
  	]
  	return sorted_frequency_table
  
  
  
  
  def     __lowerCamelCase  (		UpperCamelCase__      ):
  
  
  	"""simple docstring"""
  
  
  
  
  
  
  	_UpperCAmelCase =						{}
  	for _, item in enumerate(UpperCamelCase__      ):
  		nodes.setdefault(item[2]				,     []      ).append(item[0]      )
  	return nodes
  
  
  
  
  def     __lowerCamelCase  (		UpperCamelCase__      ):
  
  
  	"""simple docstring"""
  
  
  
  
  
  
  	_UpperCAmelCase =						{}
  	for key, value in nodes.items():
  		_UpperCAmelCase =						value
  	return cluster
  
  
  
  
  def     __lowerCamelCase  (		UpperCamelCase__      ):
  
  
  	"""simple docstring"""
  
  
  
  
  
  
  	return [i * 100 / len(UpperCamelCase__      ) for i in cluster]
  
  
  
  
  def     __lowerCamelCase  (		):
  
  
  	"""simple docstring"""
  
  
  
  
  
  
  	print("\nNodes\n"      )
  	for key, value in nodes.items():
  		print(UpperCamelCase__				,     UpperCamelCase__      )
  	print("\nSupport\n"      )
  	print(UpperCamelCase__      )
  	print("\n Cluster \n"      )
  	for key, value in sorted(cluster.items()				,     reverse=UpperCamelCase__      ):
  		print(UpperCamelCase__				,     UpperCamelCase__      )
  	print("\n Graph\n"      )
  	for key, value in graph.items():
  		print(UpperCamelCase__				,     UpperCamelCase__      )
  	print("\n Edge List of Frequent subgraphs \n"      )
  	for edge_list in freq_subgraph_edge_list:
  		print(UpperCamelCase__      )
  
  
  
  
  def     __lowerCamelCase  (		UpperCamelCase__				,     UpperCamelCase__				,     UpperCamelCase__				,     UpperCamelCase__      ):
  
  
  	"""simple docstring"""
  
  
  
  
  
  
  	for i in cluster[ca]:
  		_UpperCAmelCase =						0
  		_UpperCAmelCase =						ca + 1
  		while ca < max(cluster.keys()      ):
  			for j in cluster[ca]:
  				if int(UpperCamelCase__				,     2      ) & int(UpperCamelCase__				,     2      ) == int(UpperCamelCase__				,     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     __lowerCamelCase  (		UpperCamelCase__				,     UpperCamelCase__      ):
  
  
  	"""simple docstring"""
  
  
  
  
  
  
  	_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(UpperCamelCase__      ) - 1:
  		create_edge(UpperCamelCase__				,     UpperCamelCase__				,     UpperCamelCase__				,     UpperCamelCase__      )
  		_UpperCAmelCase =						i + 1
  	return graph
  
  
  
  
  def     __lowerCamelCase  (		UpperCamelCase__				,     UpperCamelCase__				,     UpperCamelCase__				,     UpperCamelCase__=None      ):
  
  
  	"""simple docstring"""
  
  
  
  
  
  
  	_UpperCAmelCase =						(path or []) + [start]
  	if start == end:
  		paths.append(UpperCamelCase__      )
  	for node in graph[start]:
  		if tuple(UpperCamelCase__      ) not in path:
  			my_dfs(UpperCamelCase__				,     tuple(UpperCamelCase__      )				,     UpperCamelCase__				,     UpperCamelCase__      )
  
  
  
  
  def     __lowerCamelCase  (		UpperCamelCase__				,     UpperCamelCase__				,     UpperCamelCase__      ):
  
  
  	"""simple docstring"""
  
  
  
  
  
  
  	_UpperCAmelCase =						int(s / 100 * (len(UpperCamelCase__      ) - 1)      )
  	for i in cluster[k]:
  		my_dfs(UpperCamelCase__				,     tuple(cluster[k][i]      )				,     (["Header"],)      )
  
  
  
  
  def     __lowerCamelCase  (		UpperCamelCase__      ):
  
  
  	"""simple docstring"""
  
  
  
  
  
  
  	_UpperCAmelCase =						[]
  	for edges in paths:
  		_UpperCAmelCase =						[]
  		for j in range(len(UpperCamelCase__      ) - 1      ):
  			_UpperCAmelCase =						list(edges[j]      )
  			for e in temp:
  				_UpperCAmelCase =						(e[0], e[1])
  				el.append(UpperCamelCase__      )
  		freq_sub_el.append(UpperCamelCase__      )
  	return freq_sub_el
  
  
  
  
  def     __lowerCamelCase  (		UpperCamelCase__      ):
  
  
  	"""simple docstring"""
  
  
  
  
  
  
  	for i in range(len(UpperCamelCase__      )      ):
  		for j in range(len(edge_array[i]      )      ):
  			_UpperCAmelCase =						edge_array[i][j].split("-"      )
  			_UpperCAmelCase =						t
  
  
  if __name__ == "__main__":
  			preprocess(edge_array)
  			__magic_name__		       =				get_frequency_table(edge_array)
  			__magic_name__		       =				get_nodes(frequency_table)
  			__magic_name__		       =				get_cluster(nodes)
  			__magic_name__		       =				get_support(cluster)
  			__magic_name__		       =				construct_graph(cluster, nodes)
  			find_freq_subgraph_given_support(60, cluster, graph)
  			__magic_name__		       =				[]
  			__magic_name__		       =				freq_subgraphs_edge_list(paths)
  			print_all()
  
  
  
  
  
style_context: 
  """simple docstring"""
  from collections import namedtuple
  
  __magic_name__		       =				namedtuple('''from_to''', '''from_ to''')
  
  __magic_name__		       =				{
      '''atm''': from_to(1, 1),
      '''pascal''': from_to(0.0000098, 10_13_25),
      '''bar''': from_to(0.986923, 1.01325),
      '''kilopascal''': from_to(0.00986923, 101.325),
      '''megapascal''': from_to(9.86923, 0.101325),
      '''psi''': from_to(0.068046, 14.6959),
      '''inHg''': from_to(0.0334211, 29.9213),
      '''torr''': from_to(0.00131579, 7_60),
  }
  
  
  
  
  def     __lowerCamelCase  (		UpperCamelCase__				,     UpperCamelCase__				,     UpperCamelCase__      ):
  
  
  	"""simple docstring"""
  
  
  
  
  
  
  	if from_type not in PRESSURE_CONVERSION:
  		raise ValueError(
  		    f"Invalid 'from_type' value: {from_type!r}  Supported values are:\n"
  		    + ", ".join(UpperCamelCase__      )      )
  	if to_type not in PRESSURE_CONVERSION:
  		raise ValueError(
  		    f"Invalid 'to_type' value: {to_type!r}.  Supported values are:\n"
  		    + ", ".join(UpperCamelCase__      )      )
  	return (
  	    value * PRESSURE_CONVERSION[from_type].from_ * PRESSURE_CONVERSION[to_type].to
  	)
  
  
  if __name__ == "__main__":
  			import doctest
  
  			doctest.testmod()
  
  
  
  
  