code: 
  
  
  
  
  
  
  __snake_case							      =						[
      ['''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     (       SCREAMING_SNAKE_CASE__						:			Tuple ):
  				UpperCamelCase :Union[str, Any]										=     set()
  				for row in edge_array:
  								for item in row:
  												distinct_edge.add(item[0] )
  				return list(SCREAMING_SNAKE_CASE__ )
  
  
  def 						_A     (       SCREAMING_SNAKE_CASE__						:			List[str]  ,						SCREAMING_SNAKE_CASE__						:			Optional[int] ):
  				UpperCamelCase :List[Any]										=     ['0'] * len(SCREAMING_SNAKE_CASE__ )
  				for i, row in enumerate(SCREAMING_SNAKE_CASE__ ):
  								for item in row:
  												if distinct_edge in item[0]:
  																UpperCamelCase :str										=     '1'
  																break
  				return "".join(SCREAMING_SNAKE_CASE__ )
  
  
  def 						_A     (       SCREAMING_SNAKE_CASE__						:			Tuple ):
  				UpperCamelCase :Any										=     get_distinct_edge(SCREAMING_SNAKE_CASE__ )
  				UpperCamelCase :Union[str, Any]										=     {}
  
  				for item in distinct_edge:
  								UpperCamelCase :Union[str, Any]										=     get_bitcode(SCREAMING_SNAKE_CASE__  ,						SCREAMING_SNAKE_CASE__ )
  								# print('bit',bit)
  								# bt=''.join(bit)
  								UpperCamelCase :Dict										=     bit.count('''1''' )
  								UpperCamelCase :Dict										=     [s, bit]
  				# Store [Distinct edge, WT(Bitcode), Bitcode] in descending order
  				UpperCamelCase :Optional[Any]										=     [
  				    [k, v[0], v[1]]
  				    for k, v in sorted(frequency_table.items()  ,						key=lambda SCREAMING_SNAKE_CASE__ : v[1][0]  ,						reverse=SCREAMING_SNAKE_CASE__ )
  				]
  				return sorted_frequency_table
  
  
  def 						_A     (       SCREAMING_SNAKE_CASE__						:			List[str] ):
  				UpperCamelCase :Tuple										=     {}
  				for _, item in enumerate(SCREAMING_SNAKE_CASE__ ):
  								nodes.setdefault(item[2]  ,						[] ).append(item[0] )
  				return nodes
  
  
  def 						_A     (       SCREAMING_SNAKE_CASE__						:			List[str] ):
  				UpperCamelCase :str										=     {}
  				for key, value in nodes.items():
  								UpperCamelCase :Union[str, Any]										=     value
  				return cluster
  
  
  def 						_A     (       SCREAMING_SNAKE_CASE__						:			List[str] ):
  				return [i * 100 / len(SCREAMING_SNAKE_CASE__ ) for i in cluster]
  
  
  def 						_A     (       ):
  				print('''\nNodes\n''' )
  				for key, value in nodes.items():
  								print(SCREAMING_SNAKE_CASE__  ,						SCREAMING_SNAKE_CASE__ )
  				print('''\nSupport\n''' )
  				print(SCREAMING_SNAKE_CASE__ )
  				print('''\n Cluster \n''' )
  				for key, value in sorted(cluster.items()  ,						reverse=SCREAMING_SNAKE_CASE__ ):
  								print(SCREAMING_SNAKE_CASE__  ,						SCREAMING_SNAKE_CASE__ )
  				print('''\n Graph\n''' )
  				for key, value in graph.items():
  								print(SCREAMING_SNAKE_CASE__  ,						SCREAMING_SNAKE_CASE__ )
  				print('''\n Edge List of Frequent subgraphs \n''' )
  				for edge_list in freq_subgraph_edge_list:
  								print(SCREAMING_SNAKE_CASE__ )
  
  
  def 						_A     (       SCREAMING_SNAKE_CASE__						:			int  ,						SCREAMING_SNAKE_CASE__						:			str  ,						SCREAMING_SNAKE_CASE__						:			Optional[Any]  ,						SCREAMING_SNAKE_CASE__						:			int ):
  
  
  
  
  
  
  
  				for i in cluster[ca]:
  								UpperCamelCase :Tuple										=     0
  								UpperCamelCase :Any										=     ca + 1
  								while ca < max(cluster.keys() ):
  												for j in cluster[ca]:
  																if int(SCREAMING_SNAKE_CASE__  ,						2 ) & int(SCREAMING_SNAKE_CASE__  ,						2 ) == int(SCREAMING_SNAKE_CASE__  ,						2 ):
  																				if tuple(nodes[i] ) in graph:
  																								graph[tuple(nodes[i] )].append(nodes[j] )
  																				else:
  																								UpperCamelCase :List[Any]										=     [nodes[j]]
  																				count += 1
  												if count == 0:
  																UpperCamelCase :Tuple										=     ca + 1
  												else:
  																break
  
  
  def 						_A     (       SCREAMING_SNAKE_CASE__						:			Any  ,						SCREAMING_SNAKE_CASE__						:			List[Any] ):
  				UpperCamelCase :str										=     cluster[max(cluster.keys() )]
  				UpperCamelCase :Dict										=     'Header'
  				UpperCamelCase :Optional[Any]										=     {}
  				for i in x:
  								if (["Header"],) in graph:
  												graph[(["Header"],)].append(x[i] )
  								else:
  												UpperCamelCase :List[str]										=     [x[i]]
  				for i in x:
  								UpperCamelCase :Union[str, Any]										=     [['Header']]
  				UpperCamelCase :List[str]										=     1
  				while i < max(SCREAMING_SNAKE_CASE__ ) - 1:
  								create_edge(SCREAMING_SNAKE_CASE__  ,						SCREAMING_SNAKE_CASE__  ,						SCREAMING_SNAKE_CASE__  ,						SCREAMING_SNAKE_CASE__ )
  								UpperCamelCase :Dict										=     i + 1
  				return graph
  
  
  def 						_A     (       SCREAMING_SNAKE_CASE__						:			Dict  ,						SCREAMING_SNAKE_CASE__						:			Tuple  ,						SCREAMING_SNAKE_CASE__						:			List[Any]  ,						SCREAMING_SNAKE_CASE__						:			Union[str, Any]=None ):
  				UpperCamelCase :str										=     (path or []) + [start]
  				if start == end:
  								paths.append(SCREAMING_SNAKE_CASE__ )
  				for node in graph[start]:
  								if tuple(SCREAMING_SNAKE_CASE__ ) not in path:
  												my_dfs(SCREAMING_SNAKE_CASE__  ,						tuple(SCREAMING_SNAKE_CASE__ )  ,						SCREAMING_SNAKE_CASE__  ,						SCREAMING_SNAKE_CASE__ )
  
  
  def 						_A     (       SCREAMING_SNAKE_CASE__						:			Optional[Any]  ,						SCREAMING_SNAKE_CASE__						:			Tuple  ,						SCREAMING_SNAKE_CASE__						:			Union[str, Any] ):
  				UpperCamelCase :Union[str, Any]										=     int(s / 100 * (len(SCREAMING_SNAKE_CASE__ ) - 1) )
  				for i in cluster[k]:
  								my_dfs(SCREAMING_SNAKE_CASE__  ,						tuple(cluster[k][i] )  ,						(['''Header'''],) )
  
  
  def 						_A     (       SCREAMING_SNAKE_CASE__						:			Optional[int] ):
  				UpperCamelCase :str										=     []
  				for edges in paths:
  								UpperCamelCase :List[Any]										=     []
  								for j in range(len(SCREAMING_SNAKE_CASE__ ) - 1 ):
  												UpperCamelCase :List[str]										=     list(edges[j] )
  												for e in temp:
  																UpperCamelCase :Optional[int]										=     (e[0], e[1])
  																el.append(SCREAMING_SNAKE_CASE__ )
  								freq_sub_el.append(SCREAMING_SNAKE_CASE__ )
  				return freq_sub_el
  
  
  def 						_A     (       SCREAMING_SNAKE_CASE__						:			str ):
  
  
  
  
  
  
  
  				for i in range(len(SCREAMING_SNAKE_CASE__ ) ):
  								for j in range(len(edge_array[i] ) ):
  												UpperCamelCase :Any										=     edge_array[i][j].split('''-''' )
  												UpperCamelCase :Tuple										=     t
  
  
  if __name__ == "__main__":
  	preprocess(edge_array)
  	__snake_case							      =						get_frequency_table(edge_array)
  	__snake_case							      =						get_nodes(frequency_table)
  	__snake_case							      =						get_cluster(nodes)
  	__snake_case							      =						get_support(cluster)
  	__snake_case							      =						construct_graph(cluster, nodes)
  	find_freq_subgraph_given_support(60, cluster, graph)
  	__snake_case							      =						[]
  	__snake_case							      =						freq_subgraphs_edge_list(paths)
  	print_all()
  
  
  
  
  
  
style_context: 
  
  
  
  
  
  
  # as due to their complexity multi-gpu tests could impact other tests, and to aid debug we have those in a separate module.
  
  import os
  import sys
  
  from transformers.testing_utils import TestCasePlus, execute_subprocess_async, get_gpu_count, require_torch_gpu, slow
  
  from .utils import load_json
  
  
  
  
  
  
  
  class     UpperCAmelCase_		(      lowercase				):
  
  
  
        """simple docstring"""
        @classmethod
        def 					UpperCAmelCase		(       cls				)       ->   List[Any]:
            return cls
  
  
  
  
        @slow
        @require_torch_gpu
        def 					UpperCAmelCase		(       self				)       ->   int:
            UpperCamelCase :int										=     self.get_auto_remove_tmp_dir()
            UpperCamelCase :List[str]										=     F'''
              --model_name Helsinki-NLP/opus-mt-en-ro
              --save_dir {output_dir}
              --data_dir {self.test_file_dir_str}/test_data/wmt_en_ro
              --num_beams 2
              --task translation
          '''.split()
  
            # we want this test to run even if there is only one GPU, but if there are more we use them all
            UpperCamelCase :List[str]										=     get_gpu_count()
            UpperCamelCase :Optional[Any]										=     F'''
              -m torch.distributed.launch
              --nproc_per_node={n_gpu}
              {self.test_file_dir}/run_distributed_eval.py
          '''.split()
            UpperCamelCase :List[Any]										=     [sys.executable] + distributed_args + args
            execute_subprocess_async(SCREAMING_SNAKE_CASE_					,       env=self.get_env()				)
  
            UpperCamelCase :Tuple										=     os.path.join(SCREAMING_SNAKE_CASE_					,       '''test_bleu.json'''				)
            UpperCamelCase :str										=     load_json(SCREAMING_SNAKE_CASE_				)
            # print(metrics)
            self.assertGreaterEqual(metrics['''bleu''']					,       25				)
  
  
  
  
  
  