
'''simple docstring'''







__SCREAMING_SNAKE_CASE		:  int        =      [
    ['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 				_snake_case (		lowercase						)       ->       Any:
				__a       :     List[Any]								=	set()
				for row in edge_array:
								for item in row:
												distinct_edge.add(item[0]						)
				return list(lowercase						)

def 				_snake_case (		lowercase			,    lowercase						)       ->       List[str]:
				__a       :     Dict								=	["""0"""] * len(lowercase						)
				for i, row in enumerate(lowercase						):
								for item in row:
												if distinct_edge in item[0]:
																__a       :     Tuple								=	"""1"""
																break
				return "".join(lowercase						)

def 				_snake_case (		lowercase						)       ->       Tuple:
				__a       :     Tuple								=	get_distinct_edge(lowercase						)
				__a       :     List[str]								=	{}

				for item in distinct_edge:
								__a       :     int								=	get_bitcode(lowercase			,    lowercase						)
								# print('bit',bit)
								# bt=''.join(bit)
								__a       :     int								=	bit.count("""1"""						)
								__a       :     str								=	[s, bit]
				# Store [Distinct edge, WT(Bitcode), Bitcode] in descending order
				__a       :     Any								=	[
				    [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 				_snake_case (		lowercase						)       ->       Tuple:
				__a       :     List[str]								=	{}
				for _, item in enumerate(lowercase						):
								nodes.setdefault(item[2]			,    []						).append(item[0]						)
				return nodes

def 				_snake_case (		lowercase						)       ->       Optional[int]:
				__a       :     int								=	{}
				for key, value in nodes.items():
								__a       :     Tuple								=	value
				return cluster

def 				_snake_case (		lowercase						)       ->       str:
				return [i * 1_0_0 / len(lowercase						) for i in cluster]

def 				_snake_case (		)       ->       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 				_snake_case (		lowercase			,    lowercase			,    lowercase			,    lowercase						)       ->       Tuple:
				for i in cluster[ca]:
								__a       :     Any								=	0
								__a       :     Any								=	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:
																								__a       :     Tuple								=	[nodes[j]]
																				count += 1
												if count == 0:
																__a       :     Optional[Any]								=	ca + 1
												else:
																break

def 				_snake_case (		lowercase			,    lowercase						)       ->       Tuple:
				__a       :     Any								=	cluster[max(cluster.keys()						)]
				__a       :     Optional[int]								=	"""Header"""
				__a       :     Dict								=	{}
				for i in x:
								if (["Header"],) in graph:
												graph[(["Header"],)].append(x[i]						)
								else:
												__a       :     Optional[int]								=	[x[i]]
				for i in x:
								__a       :     Optional[Any]								=	[["""Header"""]]
				__a       :     int								=	1
				while i < max(lowercase						) - 1:
								create_edge(lowercase			,    lowercase			,    lowercase			,    lowercase						)
								__a       :     Tuple								=	i + 1
				return graph

def 				_snake_case (		lowercase			,    lowercase			,    lowercase			,    lowercase=None						)       ->       Tuple:
				__a       :     List[str]								=	(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 				_snake_case (		lowercase			,    lowercase			,    lowercase						)       ->       Optional[int]:
				__a       :     str								=	int(s / 1_0_0 * (len(lowercase						) - 1)						)
				for i in cluster[k]:
								my_dfs(lowercase			,    tuple(cluster[k][i]						)			,    (["""Header"""],)						)

def 				_snake_case (		lowercase						)       ->       Dict:
				__a       :     Optional[Any]								=	[]
				for edges in paths:
								__a       :     List[Any]								=	[]
								for j in range(len(lowercase						) - 1						):
												__a       :     Any								=	list(edges[j]						)
												for e in temp:
																__a       :     int								=	(e[0], e[1])
																el.append(lowercase						)
								freq_sub_el.append(lowercase						)
				return freq_sub_el

def 				_snake_case (		lowercase						)       ->       Union[str, Any]:
				for i in range(len(lowercase						)						):
								for j in range(len(edge_array[i]						)						):
												__a       :     Union[str, Any]								=	edge_array[i][j].split("""-"""						)
												__a       :     Optional[int]								=	t


if __name__ == "__main__":
					preprocess(edge_array)
					__SCREAMING_SNAKE_CASE		:  Any        =      get_frequency_table(edge_array)
					__SCREAMING_SNAKE_CASE		:  Any        =      get_nodes(frequency_table)
					__SCREAMING_SNAKE_CASE		:  List[Any]        =      get_cluster(nodes)
					__SCREAMING_SNAKE_CASE		:  Optional[int]        =      get_support(cluster)
					__SCREAMING_SNAKE_CASE		:  str        =      construct_graph(cluster, nodes)
					find_freq_subgraph_given_support(60, cluster, graph)
					__SCREAMING_SNAKE_CASE		:  list        =      []
					__SCREAMING_SNAKE_CASE		:  List[Any]        =      freq_subgraphs_edge_list(paths)
					print_all()

'''simple docstring'''







def 				_snake_case (		lowercase = 2_0						)       ->       int:

				try:
								__a       :     Optional[Any]								=	int(lowercase						)
				except (TypeError, ValueError):
								raise TypeError("""Parameter n must be int or castable to int."""						)
				if n <= 0:
								raise ValueError("""Parameter n must be greater than or equal to one."""						)
				__a       :     List[Any]								=	0
				while 1:
								i += n * (n - 1)
								__a       :     Union[str, Any]								=	0
								for j in range(2			,    lowercase						):
												if i % j != 0:
																__a       :     Any								=	1
																break
								if nfound == 0:
												if i == 0:
																__a       :     List[str]								=	1
												return i
				return None


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