


snake_case_  :     Any							  =							[
    ['''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(				a__):
				_SCREAMING_SNAKE_CASE     					=set()
				for row in edge_array:
								for item in row:
												distinct_edge.add(item[0])
				return list(a__)







def   lowerCamelCase(				a__		,a__):
				_SCREAMING_SNAKE_CASE     					=['''0'''] * len(a__)
				for i, row in enumerate(a__):
								for item in row:
												if distinct_edge in item[0]:
																_SCREAMING_SNAKE_CASE     					='''1'''
																break
				return "".join(a__)







def   lowerCamelCase(				a__):
				_SCREAMING_SNAKE_CASE     					=get_distinct_edge(a__)
				_SCREAMING_SNAKE_CASE     					={}

				for item in distinct_edge:
								_SCREAMING_SNAKE_CASE     					=get_bitcode(a__		,a__)
								# print('bit',bit)
								# bt=''.join(bit)
								_SCREAMING_SNAKE_CASE     					=bit.count('''1''')
								_SCREAMING_SNAKE_CASE     					=[s, bit]
				# Store [Distinct edge, WT(Bitcode), Bitcode] in descending order
				_SCREAMING_SNAKE_CASE     					=[
				    [k, v[0], v[1]]
				    for k, v in sorted(frequency_table.items()		,key=lambda a__: v[1][0]		,reverse=a__)
				]
				return sorted_frequency_table







def   lowerCamelCase(				a__):
				_SCREAMING_SNAKE_CASE     					={}
				for _, item in enumerate(a__):
								nodes.setdefault(item[2]		,[]).append(item[0])
				return nodes







def   lowerCamelCase(				a__):
				_SCREAMING_SNAKE_CASE     					={}
				for key, value in nodes.items():
								_SCREAMING_SNAKE_CASE     					=value
				return cluster







def   lowerCamelCase(				a__):
				return [i * 100 / len(a__) for i in cluster]







def   lowerCamelCase(				):
				print('''\nNodes\n''')
				for key, value in nodes.items():
								print(a__		,a__)
				print('''\nSupport\n''')
				print(a__)
				print('''\n Cluster \n''')
				for key, value in sorted(cluster.items()		,reverse=a__):
								print(a__		,a__)
				print('''\n Graph\n''')
				for key, value in graph.items():
								print(a__		,a__)
				print('''\n Edge List of Frequent subgraphs \n''')
				for edge_list in freq_subgraph_edge_list:
								print(a__)







def   lowerCamelCase(				a__		,a__		,a__		,a__):
				for i in cluster[ca]:
								_SCREAMING_SNAKE_CASE     					=0
								_SCREAMING_SNAKE_CASE     					=ca + 1
								while ca < max(cluster.keys()):
												for j in cluster[ca]:
																if int(a__		,2) & int(a__		,2) == int(a__		,2):
																				if tuple(nodes[i]) in graph:
																								graph[tuple(nodes[i])].append(nodes[j])
																				else:
																								_SCREAMING_SNAKE_CASE     					=[nodes[j]]
																				count += 1
												if count == 0:
																_SCREAMING_SNAKE_CASE     					=ca + 1
												else:
																break







def   lowerCamelCase(				a__		,a__):
				_SCREAMING_SNAKE_CASE     					=cluster[max(cluster.keys())]
				_SCREAMING_SNAKE_CASE     					='''Header'''
				_SCREAMING_SNAKE_CASE     					={}
				for i in x:
								if (["Header"],) in graph:
												graph[(["Header"],)].append(x[i])
								else:
												_SCREAMING_SNAKE_CASE     					=[x[i]]
				for i in x:
								_SCREAMING_SNAKE_CASE     					=[['''Header''']]
				_SCREAMING_SNAKE_CASE     					=1
				while i < max(a__) - 1:
								create_edge(a__		,a__		,a__		,a__)
								_SCREAMING_SNAKE_CASE     					=i + 1
				return graph







def   lowerCamelCase(				a__		,a__		,a__		,a__=None):
				_SCREAMING_SNAKE_CASE     					=(path or []) + [start]
				if start == end:
								paths.append(a__)
				for node in graph[start]:
								if tuple(a__) not in path:
												my_dfs(a__		,tuple(a__)		,a__		,a__)







def   lowerCamelCase(				a__		,a__		,a__):
				_SCREAMING_SNAKE_CASE     					=int(s / 100 * (len(a__) - 1))
				for i in cluster[k]:
								my_dfs(a__		,tuple(cluster[k][i])		,(['''Header'''],))







def   lowerCamelCase(				a__):
				_SCREAMING_SNAKE_CASE     					=[]
				for edges in paths:
								_SCREAMING_SNAKE_CASE     					=[]
								for j in range(len(a__) - 1):
												_SCREAMING_SNAKE_CASE     					=list(edges[j])
												for e in temp:
																_SCREAMING_SNAKE_CASE     					=(e[0], e[1])
																el.append(a__)
								freq_sub_el.append(a__)
				return freq_sub_el







def   lowerCamelCase(				a__):
				for i in range(len(a__)):
								for j in range(len(edge_array[i])):
												_SCREAMING_SNAKE_CASE     					=edge_array[i][j].split('''-''')
												_SCREAMING_SNAKE_CASE     					=t


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



from __future__ import annotations

from collections.abc import Iterator
from typing import Any

class   A__							:




						def __init__(    self   : List[Any]			,      _a   : Any					)							->       None:


										"""simple docstring"""





										_SCREAMING_SNAKE_CASE     					=data
										_SCREAMING_SNAKE_CASE     					=None




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


										"""simple docstring"""





										return f"{self.data}"

class   A__							:




						def __init__(    self   : Optional[Any]					)							->       None:


										"""simple docstring"""





										_SCREAMING_SNAKE_CASE     					=None
										_SCREAMING_SNAKE_CASE     					=None




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


										"""simple docstring"""





										_SCREAMING_SNAKE_CASE     					=self.front
										while node:
														yield node.data
														_SCREAMING_SNAKE_CASE     					=node.next




						def __len__(    self   : List[Any]					)							->       int:


										"""simple docstring"""





										return len(tuple(iter(self					)					)					)




						def __str__(    self   : int					)							->       str:


										"""simple docstring"""





										return " <- ".join(str(_a					) for item in self					)




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


										"""simple docstring"""





										return len(self					) == 0




						def 							__UpperCamelCase			(    self   : int			,      _a   : Any					)							->       None:


										"""simple docstring"""





										_SCREAMING_SNAKE_CASE     					=Node(_a					)
										if self.is_empty():
														_SCREAMING_SNAKE_CASE     					=_SCREAMING_SNAKE_CASE     					=node
										else:
														assert isinstance(self.rear			,      _a					)
														_SCREAMING_SNAKE_CASE     					=node
														_SCREAMING_SNAKE_CASE     					=node




						def 							__UpperCamelCase			(    self   : Dict					)							->       Any:


										"""simple docstring"""





										if self.is_empty():
														raise IndexError('''dequeue from empty queue'''					)
										assert isinstance(self.front			,      _a					)
										_SCREAMING_SNAKE_CASE     					=self.front
										_SCREAMING_SNAKE_CASE     					=self.front.next
										if self.front is None:
														_SCREAMING_SNAKE_CASE     					=None
										return node.data




						def 							__UpperCamelCase			(    self   : Union[str, Any]					)							->       None:


										"""simple docstring"""





										_SCREAMING_SNAKE_CASE     					=_SCREAMING_SNAKE_CASE     					=None


if __name__ == "__main__":
							from doctest import testmod

							testmod()