





'''simple docstring'''







_a					: List[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						(						lowercase	)					->					Any:
			__lowerCAmelCase											=				set()
			for row in edge_array:
						for item in row:
									distinct_edge.add(item[0]	)
			return list(lowercase	)





def    _lowerCAmelCase						(						lowercase					,	lowercase	)					->					List[Any]:
			__lowerCAmelCase											=				["""0"""] * len(lowercase	)
			for i, row in enumerate(lowercase	):
						for item in row:
									if distinct_edge in item[0]:
												__lowerCAmelCase											=				"""1"""
												break
			return "".join(lowercase	)





def    _lowerCAmelCase						(						lowercase	)					->					List[Any]:
			__lowerCAmelCase											=				get_distinct_edge(lowercase	)
			__lowerCAmelCase											=				{}

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





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





def    _lowerCAmelCase						(						lowercase	)					->					Union[str, Any]:
			return [i * 100 / len(lowercase	) for i in cluster]





def    _lowerCAmelCase						(						)					->					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    _lowerCAmelCase						(						lowercase					,	lowercase					,	lowercase					,	lowercase	)					->					Dict:
			for i in cluster[ca]:
						__lowerCAmelCase											=				0
						__lowerCAmelCase											=				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:
																		__lowerCAmelCase											=				[nodes[j]]
															count += 1
									if count == 0:
												__lowerCAmelCase											=				ca + 1
									else:
												break





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





def    _lowerCAmelCase						(						lowercase					,	lowercase					,	lowercase					,	lowercase=None	)					->					int:
			__lowerCAmelCase											=				(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    _lowerCAmelCase						(						lowercase					,	lowercase					,	lowercase	)					->					Dict:
			__lowerCAmelCase											=				int(s / 100 * (len(lowercase	) - 1)	)
			for i in cluster[k]:
						my_dfs(lowercase					,	tuple(cluster[k][i]	)					,	(["""Header"""],)	)





def    _lowerCAmelCase						(						lowercase	)					->					Any:
			__lowerCAmelCase											=				[]
			for edges in paths:
						__lowerCAmelCase											=				[]
						for j in range(len(lowercase	) - 1	):
									__lowerCAmelCase											=				list(edges[j]	)
									for e in temp:
												__lowerCAmelCase											=				(e[0], e[1])
												el.append(lowercase	)
						freq_sub_el.append(lowercase	)
			return freq_sub_el





def    _lowerCAmelCase						(						lowercase	)					->					Dict:
			for i in range(len(lowercase	)	):
						for j in range(len(edge_array[i]	)	):
									__lowerCAmelCase											=				edge_array[i][j].split("""-"""	)
									__lowerCAmelCase											=				t


if __name__ == "__main__":
	preprocess(edge_array)
	_a					: List[Any]      =    get_frequency_table(edge_array)
	_a					: List[str]      =    get_nodes(frequency_table)
	_a					: int      =    get_cluster(nodes)
	_a					: Any      =    get_support(cluster)
	_a					: List[Any]      =    construct_graph(cluster, nodes)
	find_freq_subgraph_given_support(6_0, cluster, graph)
	_a					: list      =    []
	_a					: Optional[Any]      =    freq_subgraphs_edge_list(paths)
	print_all()








'''simple docstring'''







# Lint as: python3

import hashlib
from typing import Union





def    _lowerCAmelCase						(						lowercase	)					->					bytes:
			if isinstance(lowercase					,	lowercase	):
						# Data already in bytes, returns as it as
						return hash_data
			elif isinstance(lowercase					,	lowercase	):
						# We keep the data as it as for it ot be later encoded to UTF-8
						# However replace `\\` with `/` for Windows compatibility
						__lowerCAmelCase											=				hash_data.replace("""\\"""					,	"""/"""	)
			elif isinstance(lowercase					,	lowercase	):
						__lowerCAmelCase											=				str(lowercase	)
			else:
						# If data is not of the required type, raise error
						raise InvalidKeyError(lowercase	)

			return hash_data.encode("""utf-8"""	)





class     _UpperCAmelCase							(						lowerCAmelCase_   ):
		def __init__(  self,__SCREAMING_SNAKE_CASE			):



					'''simple docstring'''

					__lowerCAmelCase											=				"""\nFAILURE TO GENERATE DATASET: Invalid key type detected"""
					__lowerCAmelCase											=				f'\nFound Key {hash_data} of type {type(__SCREAMING_SNAKE_CASE			)}'
					__lowerCAmelCase											=				"""\nKeys should be either str, int or bytes type"""
					super().__init__(f'{self.prefix}{self.err_msg}{self.suffix}'			)





class     _UpperCAmelCase							(						lowerCAmelCase_   ):
		def __init__(  self,__SCREAMING_SNAKE_CASE,__SCREAMING_SNAKE_CASE,__SCREAMING_SNAKE_CASE=""			):



					'''simple docstring'''

					__lowerCAmelCase											=				key
					__lowerCAmelCase											=				duplicate_key_indices
					__lowerCAmelCase											=				fix_msg
					__lowerCAmelCase											=				"""Found multiple examples generated with the same key"""
					if len(__SCREAMING_SNAKE_CASE			) <= 20:
								__lowerCAmelCase											=				f'\nThe examples at index {", ".join(__SCREAMING_SNAKE_CASE			)} have the key {key}'
					else:
								__lowerCAmelCase											=				f'\nThe examples at index {", ".join(duplicate_key_indices[:20]			)}... ({len(__SCREAMING_SNAKE_CASE			) - 20} more) have the key {key}'
					__lowerCAmelCase											=				"""\n""" + fix_msg if fix_msg else """"""
					super().__init__(f'{self.prefix}{self.err_msg}{self.suffix}'			)





class     _UpperCAmelCase							:
		def __init__(  self,__SCREAMING_SNAKE_CASE			):



					'''simple docstring'''

					__lowerCAmelCase											=				hashlib.mda(_as_bytes(__SCREAMING_SNAKE_CASE			)			)







		def   lowerCamelCase__			(  self,__SCREAMING_SNAKE_CASE			):



					'''simple docstring'''

					__lowerCAmelCase											=				self._split_mda.copy()
					__lowerCAmelCase											=				_as_bytes(__SCREAMING_SNAKE_CASE			)
					mda.update(__SCREAMING_SNAKE_CASE			)
					# Convert to integer with hexadecimal conversion
					return int(mda.hexdigest(),16			)

