



'''simple docstring'''

_A					:     Optional[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     __UpperCamelCase					(				_lowercase       )			->      Optional[int]:
	_lowercase       :							Union[str, Any]  	=		set()
	for row in edge_array:
		for item in row:
			distinct_edge.add(item[0]       )
	return list(_lowercase       )







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







def     __UpperCamelCase					(				_lowercase       )			->      List[str]:
	_lowercase       :							Union[str, Any]  	=		get_distinct_edge(_lowercase       )
	_lowercase       :							str  	=		{}

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







def     __UpperCamelCase					(				_lowercase       )			->      str:
	_lowercase       :							Any  	=		{}
	for key, value in nodes.items():
		_lowercase       :							List[Any]  	=		value
	return cluster







def     __UpperCamelCase					(				_lowercase       )			->      str:
	return [i * 100 / len(_lowercase       ) for i in cluster]







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







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







def     __UpperCamelCase					(				_lowercase,					_lowercase,					_lowercase,					_lowercase=None       )			->      int:
	_lowercase       :							Union[str, Any]  	=		(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     __UpperCamelCase					(				_lowercase,					_lowercase,					_lowercase       )			->      str:
	_lowercase       :							Union[str, Any]  	=		int(s / 100 * (len(_lowercase       ) - 1)       )
	for i in cluster[k]:
		my_dfs(_lowercase,					tuple(cluster[k][i]       ),					(['Header'],)       )







def     __UpperCamelCase					(				_lowercase       )			->      str:
	_lowercase       :							Any  	=		[]
	for edges in paths:
		_lowercase       :							Optional[int]  	=		[]
		for j in range(len(_lowercase       ) - 1       ):
			_lowercase       :							Any  	=		list(edges[j]       )
			for e in temp:
				_lowercase       :							Tuple  	=		(e[0], e[1])
				el.append(_lowercase       )
		freq_sub_el.append(_lowercase       )
	return freq_sub_el







def     __UpperCamelCase					(				_lowercase       )			->      int:
	for i in range(len(_lowercase       )       ):
		for j in range(len(edge_array[i]       )       ):
			_lowercase       :							List[Any]  	=		edge_array[i][j].split('-'       )
			_lowercase       :							Dict  	=		t


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





'''simple docstring'''

from __future__ import annotations



class 		lowerCamelCase__   :




					'''simple docstring'''



					def __init__(	self					:						str  ,	UpperCamelCase_					:						int       )	->							None:



						'''simple docstring'''





						_lowercase       :							Any  	=		value
						_lowercase       :							Node | None  	=		None
						_lowercase       :							Node | None  	=		None






class 		lowerCamelCase__   :




					'''simple docstring'''



					A_         =    42




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



						'''simple docstring'''





						_lowercase       :							Optional[int]  	=		0




					def     __UpperCAmelCase  (	self					:						str  ,	UpperCamelCase_					:						Node | None  ,	UpperCamelCase_					:						int       )	->							None:



						'''simple docstring'''





						if node is None:
							return

						if path_sum == self.target:
							self.paths += 1

						if node.left:
							self.depth_first_search(node.left  ,	path_sum + node.left.value       )
						if node.right:
							self.depth_first_search(node.right  ,	path_sum + node.right.value       )




					def     __UpperCAmelCase  (	self					:						Optional[int]  ,	UpperCamelCase_					:						Node | None  ,	UpperCamelCase_					:						int | None = None       )	->							int:



						'''simple docstring'''





						if node is None:
							return 0
						if target is not None:
							_lowercase       :							Union[str, Any]  	=		target

						self.depth_first_search(UpperCamelCase_  ,	node.value       )
						self.path_sum(node.left       )
						self.path_sum(node.right       )

						return self.paths


if __name__ == "__main__":
		import doctest

		doctest.testmod()
