




__SCREAMING_SNAKE_CASE    :   List[str]       =[
    ["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_			(  lowerCamelCase:       Optional[int]						)					->			List[Any]:


      '''simple docstring'''




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

def 			lowerCAmelCase_			(  lowerCamelCase:       str     ,				lowerCamelCase:       Optional[int]						)					->			int:


      '''simple docstring'''




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

def 			lowerCAmelCase_			(  lowerCamelCase:       Optional[Any]						)					->			Any:


      '''simple docstring'''




      lowerCamelCase__        =				get_distinct_edge(lowerCamelCase						)
      lowerCamelCase__        =				{}

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

def 			lowerCAmelCase_			(  lowerCamelCase:       List[str]						)					->			Any:


      '''simple docstring'''




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

def 			lowerCAmelCase_			(  lowerCamelCase:       List[Any]						)					->			int:


      '''simple docstring'''




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

def 			lowerCAmelCase_			(  lowerCamelCase:       Dict						)					->			Optional[Any]:


      '''simple docstring'''




      return [i * 1_00 / len(lowerCamelCase						) for i in cluster]

def 			lowerCAmelCase_			(  )					->			None:


      '''simple docstring'''




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

def 			lowerCAmelCase_			(  lowerCamelCase:       List[str]     ,				lowerCamelCase:       Dict     ,				lowerCamelCase:       int     ,				lowerCamelCase:       Union[str, Any]						)					->			Optional[int]:


      '''simple docstring'''




      for i in cluster[ca]:
            lowerCamelCase__        =				0
            lowerCamelCase__        =				ca + 1
            while ca < max(cluster.keys()						):
                  for j in cluster[ca]:
                        if int(lowerCamelCase     ,				2						) & int(lowerCamelCase     ,				2						) == int(lowerCamelCase     ,				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_			(  lowerCamelCase:       Dict     ,				lowerCamelCase:       int						)					->			str:


      '''simple docstring'''




      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(lowerCamelCase						) - 1:
            create_edge(lowerCamelCase     ,				lowerCamelCase     ,				lowerCamelCase     ,				lowerCamelCase						)
            lowerCamelCase__        =				i + 1
      return graph

def 			lowerCAmelCase_			(  lowerCamelCase:       int     ,				lowerCamelCase:       List[Any]     ,				lowerCamelCase:       str     ,				lowerCamelCase:       List[Any]=None						)					->			Any:


      '''simple docstring'''




      lowerCamelCase__        =				(path or []) + [start]
      if start == end:
            paths.append(lowerCamelCase						)
      for node in graph[start]:
            if tuple(lowerCamelCase						) not in path:
                  my_dfs(lowerCamelCase     ,				tuple(lowerCamelCase						)     ,				lowerCamelCase     ,				lowerCamelCase						)

def 			lowerCAmelCase_			(  lowerCamelCase:       List[str]     ,				lowerCamelCase:       List[Any]     ,				lowerCamelCase:       Optional[Any]						)					->			Any:


      '''simple docstring'''




      lowerCamelCase__        =				int(s / 1_00 * (len(lowerCamelCase						) - 1)						)
      for i in cluster[k]:
            my_dfs(lowerCamelCase     ,				tuple(cluster[k][i]						)     ,				(['Header'],)						)

def 			lowerCAmelCase_			(  lowerCamelCase:       Tuple						)					->			Any:


      '''simple docstring'''




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

def 			lowerCAmelCase_			(  lowerCamelCase:       Any						)					->			Optional[int]:


      '''simple docstring'''




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


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





import importlib.metadata
import sys

from transformers.testing_utils import TestCasePlus
from transformers.utils.versions import require_version, require_version_core


__SCREAMING_SNAKE_CASE    :   int       =importlib.metadata.version("""numpy""")
__SCREAMING_SNAKE_CASE    :   Optional[int]       =""".""".join([str(x) for x in sys.version_info[:3]])






class 			A			(		_lowerCAmelCase		):
     """simple docstring"""

     def  __snake_case   (    self  :   List[Any]			)				->       Optional[int]:
           # lt + different version strings
           require_version_core('numpy<1000.4.5'			)
           require_version_core('numpy<1000.4'			)
           require_version_core('numpy<1000'			)

           # le
           require_version_core('numpy<=1000.4.5'			)
           require_version_core(F"""numpy<={numpy_ver}"""			)

           # eq
           require_version_core(F"""numpy=={numpy_ver}"""			)

           # ne
           require_version_core('numpy!=1000.4.5'			)

           # ge
           require_version_core('numpy>=1.0'			)
           require_version_core('numpy>=1.0.0'			)
           require_version_core(F"""numpy>={numpy_ver}"""			)

           # gt
           require_version_core('numpy>1.0.0'			)

           # mix
           require_version_core('numpy>1.0.0,<1000'			)

           # requirement w/o version
           require_version_core('numpy'			)

           # unmet requirements due to version conflict
           for req in ["numpy==1.0.0", "numpy>=1000.0.0", F"""numpy<{numpy_ver}"""]:
                 try:
                       require_version_core(A__			)
                 except ImportError as e:
                       self.assertIn(F"""{req} is required"""	,  str(A__			)			)
                       self.assertIn('but found'	,  str(A__			)			)

        # unmet requirements due to missing module
           for req in ["numpipypie>1", "numpipypie2"]:
                 try:
                       require_version_core(A__			)
                 except importlib.metadata.PackageNotFoundError as e:
                       self.assertIn(F"""The '{req}' distribution was not found and is required by this application"""	,  str(A__			)			)
                       self.assertIn('Try: pip install transformers -U'	,  str(A__			)			)

        # bogus requirements formats:
        # 1. whole thing
           for req in ["numpy??1.0.0", "numpy1.0.0"]:
                 try:
                       require_version_core(A__			)
                 except ValueError as e:
                       self.assertIn('requirement needs to be in the pip package format'	,  str(A__			)			)
        # 2. only operators
           for req in ["numpy=1.0.0", "numpy == 1.00", "numpy<>1.0.0", "numpy><1.00", "numpy>>1.0.0"]:
                 try:
                       require_version_core(A__			)
                 except ValueError as e:
                       self.assertIn('need one of '	,  str(A__			)			)




     def  __snake_case   (    self  :   str			)				->       Optional[int]:
           # matching requirement
           require_version('python>=3.6.0'			)

           # not matching requirements
           for req in ["python>9.9.9", "python<3.0.0"]:
                 try:
                       require_version_core(A__			)
                 except ImportError as e:
                       self.assertIn(F"""{req} is required"""	,  str(A__			)			)
                       self.assertIn(F"""but found python=={python_ver}"""	,  str(A__			)			)