






__UpperCAmelCase      =				[
    ["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 						A_					(						lowercase_			)				->str:







 """simple docstring"""

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





def 						A_					(						lowercase_	,  lowercase_			)				->List[str]:







 """simple docstring"""

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





def 						A_					(						lowercase_			)				->Optional[Any]:







 """simple docstring"""

 SCREAMING_SNAKE_CASE				    =		get_distinct_edge(lowercase_			)
 SCREAMING_SNAKE_CASE				    =		{}

 for item in distinct_edge:
  SCREAMING_SNAKE_CASE				    =		get_bitcode(lowercase_	,  lowercase_			)
  # 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 lowercase_			: v[1][0]	,  reverse=lowercase_			)
 ]
 return sorted_frequency_table





def 						A_					(						lowercase_			)				->List[str]:







 """simple docstring"""

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





def 						A_					(						lowercase_			)				->Optional[int]:







 """simple docstring"""

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





def 						A_					(						lowercase_			)				->List[Any]:







 """simple docstring"""

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





def 						A_					(						)				->None:







 """simple docstring"""

 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 						A_					(						lowercase_	,  lowercase_	,  lowercase_	,  lowercase_			)				->Any:







 """simple docstring"""

 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(lowercase_	,  2			) & int(lowercase_	,  2			) == int(lowercase_	,  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 						A_					(						lowercase_	,  lowercase_			)				->List[str]:







 """simple docstring"""

 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(lowercase_			) - 1:
  create_edge(lowercase_	,  lowercase_	,  lowercase_	,  lowercase_			)
  SCREAMING_SNAKE_CASE				    =		i + 1
 return graph





def 						A_					(						lowercase_	,  lowercase_	,  lowercase_	,  lowercase_=None			)				->Optional[int]:







 """simple docstring"""

 SCREAMING_SNAKE_CASE				    =		(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 						A_					(						lowercase_	,  lowercase_	,  lowercase_			)				->Optional[int]:







 """simple docstring"""

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





def 						A_					(						lowercase_			)				->Any:







 """simple docstring"""

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





def 						A_					(						lowercase_			)				->List[Any]:







 """simple docstring"""

 for i in range(len(lowercase_			)			):
  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)
      __UpperCAmelCase      =				get_frequency_table(edge_array)
      __UpperCAmelCase      =				get_nodes(frequency_table)
      __UpperCAmelCase      =				get_cluster(nodes)
      __UpperCAmelCase      =				get_support(cluster)
      __UpperCAmelCase      =				construct_graph(cluster, nodes)
      find_freq_subgraph_given_support(6_0, cluster, graph)
      __UpperCAmelCase      =				[]
      __UpperCAmelCase      =				freq_subgraphs_edge_list(paths)
      print_all()












from __future__ import annotations

import re





def 						A_					(						lowercase_			)				->list[str]:







 """simple docstring"""

 def alphanum_key(lowercase_			):
  return [int(lowercase_			) if s.isdigit() else s.lower() for s in re.split('([0-9]+)'	,  lowercase_			)]

 return sorted(lowercase_	,  key=lowercase_			)


if __name__ == "__main__":
      import doctest

      doctest.testmod()




