

A__							=				[
    ["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        _lowercase  (					a_					:       str					)					->						Any:




					'''simple docstring'''







					__magic_name__				=     set()
					for row in edge_array:
										for item in row:
															distinct_edge.add(item[0]					)
					return list(a_					)




def        _lowercase  (					a_					:       Optional[int]       ,a_					:       List[str]					)					->						Optional[int]:




					'''simple docstring'''







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




def        _lowercase  (					a_					:       Dict					)					->						Optional[int]:




					'''simple docstring'''







					__magic_name__				=     get_distinct_edge(a_					)
					__magic_name__				=     {}

					for item in distinct_edge:
										__magic_name__				=     get_bitcode(a_       ,a_					)
										# print('bit',bit)
										# bt=''.join(bit)
										__magic_name__				=     bit.count('1'					)
										__magic_name__				=     [s, bit]
					# Store [Distinct edge, WT(Bitcode), Bitcode] in descending order
					__magic_name__				=     [
					    [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        _lowercase  (					a_					:       List[str]					)					->						Any:




					'''simple docstring'''







					__magic_name__				=     {}
					for _, item in enumerate(a_					):
										nodes.setdefault(item[2]       ,[]					).append(item[0]					)
					return nodes




def        _lowercase  (					a_					:       List[Any]					)					->						str:




					'''simple docstring'''







					__magic_name__				=     {}
					for key, value in nodes.items():
										__magic_name__				=     value
					return cluster




def        _lowercase  (					a_					:       Optional[Any]					)					->						Any:




					'''simple docstring'''







					return [i * 1_0_0 / len(a_					) for i in cluster]




def        _lowercase  (					)					->						None:




					'''simple docstring'''







					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        _lowercase  (					a_					:       Tuple       ,a_					:       int       ,a_					:       Optional[Any]       ,a_					:       List[Any]					)					->						List[str]:




					'''simple docstring'''







					for i in cluster[ca]:
										__magic_name__				=     0
										__magic_name__				=     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:
																														__magic_name__				=     [nodes[j]]
																									count += 1
															if count == 0:
																				__magic_name__				=     ca + 1
															else:
																				break




def        _lowercase  (					a_					:       Optional[int]       ,a_					:       Optional[Any]					)					->						Union[str, Any]:




					'''simple docstring'''







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




def        _lowercase  (					a_					:       Union[str, Any]       ,a_					:       Dict       ,a_					:       str       ,a_					:       str=None					)					->						Optional[Any]:




					'''simple docstring'''







					__magic_name__				=     (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        _lowercase  (					a_					:       Union[str, Any]       ,a_					:       Dict       ,a_					:       Optional[int]					)					->						Optional[Any]:




					'''simple docstring'''







					__magic_name__				=     int(s / 1_0_0 * (len(a_					) - 1)					)
					for i in cluster[k]:
										my_dfs(a_       ,tuple(cluster[k][i]					)       ,(['Header'],)					)




def        _lowercase  (					a_					:       Dict					)					->						List[Any]:




					'''simple docstring'''







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




def        _lowercase  (					a_					:       Optional[Any]					)					->						Tuple:




					'''simple docstring'''







					for i in range(len(a_					)					):
										for j in range(len(edge_array[i]					)					):
															__magic_name__				=     edge_array[i][j].split('-'					)
															__magic_name__				=     t


if __name__ == "__main__":
						preprocess(edge_array)
						A__							=				get_frequency_table(edge_array)
						A__							=				get_nodes(frequency_table)
						A__							=				get_cluster(nodes)
						A__							=				get_support(cluster)
						A__							=				construct_graph(cluster, nodes)
						find_freq_subgraph_given_support(60, cluster, graph)
						A__							=				[]
						A__							=				freq_subgraphs_edge_list(paths)
						print_all()







from __future__ import annotations

from collections.abc import Iterator
from typing import Any

class 					__UpperCamelCase					:







	def __init__( self:			Optional[Any]	,			__UpperCamelCase:			Any   ):

						'''simple docstring'''





						__magic_name__				=     data
						__magic_name__				=     None







	def __str__( self:			Optional[int]   ):

						'''simple docstring'''





						return F'{self.data}'




class 					__UpperCamelCase					:







	def __init__( self:			List[Any]   ):

						'''simple docstring'''





						__magic_name__				=     None
						__magic_name__				=     None







	def __iter__( self:			str   ):

						'''simple docstring'''





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







	def __len__( self:			Any   ):

						'''simple docstring'''





						return len(tuple(iter(self   )   )   )







	def __str__( self:			List[str]   ):

						'''simple docstring'''





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







	def 						_SCREAMING_SNAKE_CASE				( self:			Any   ):

						'''simple docstring'''





						return len(self   ) == 0







	def 						_SCREAMING_SNAKE_CASE				( self:			Any	,			__UpperCamelCase:			Any   ):

						'''simple docstring'''





						__magic_name__				=     Node(__UpperCamelCase   )
						if self.is_empty():
											__magic_name__				=     __magic_name__				=     node
						else:
											assert isinstance(self.rear	,			__UpperCamelCase   )
											__magic_name__				=     node
											__magic_name__				=     node







	def 						_SCREAMING_SNAKE_CASE				( self:			Any   ):

						'''simple docstring'''





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







	def 						_SCREAMING_SNAKE_CASE				( self:			Tuple   ):

						'''simple docstring'''





						__magic_name__				=     __magic_name__				=     None


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

						testmod()




