




SCREAMING_SNAKE_CASE:    Optional[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 				_a       (				lowerCAmelCase   )->  List[str]:
  SCREAMING_SNAKE_CASE_							=       set()
  for row in edge_array:
    for item in row:
      distinct_edge.add(item[0]   )
  return list(_SCREAMING_SNAKE_CASE   )


def 				_a       (				lowerCAmelCase						,	lowerCAmelCase   )->  Tuple:
  SCREAMING_SNAKE_CASE_							=       ['0'] * len(_SCREAMING_SNAKE_CASE   )
  for i, row in enumerate(_SCREAMING_SNAKE_CASE   ):
    for item in row:
      if distinct_edge in item[0]:
        SCREAMING_SNAKE_CASE_							=       '1'
        break
  return "".join(_SCREAMING_SNAKE_CASE   )


def 				_a       (				lowerCAmelCase   )->  List[Any]:
  SCREAMING_SNAKE_CASE_							=       get_distinct_edge(_SCREAMING_SNAKE_CASE   )
  SCREAMING_SNAKE_CASE_							=       {}

  for item in distinct_edge:
    SCREAMING_SNAKE_CASE_							=       get_bitcode(_SCREAMING_SNAKE_CASE						,	_SCREAMING_SNAKE_CASE   )
    # 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 lowerCAmelCase   : v[1][0]						,	reverse=_SCREAMING_SNAKE_CASE   )
  ]
  return sorted_frequency_table


def 				_a       (				lowerCAmelCase   )->  Optional[int]:
  SCREAMING_SNAKE_CASE_							=       {}
  for _, item in enumerate(_SCREAMING_SNAKE_CASE   ):
    nodes.setdefault(item[2]						,	[]   ).append(item[0]   )
  return nodes


def 				_a       (				lowerCAmelCase   )->  List[Any]:
  SCREAMING_SNAKE_CASE_							=       {}
  for key, value in nodes.items():
    SCREAMING_SNAKE_CASE_							=       value
  return cluster


def 				_a       (				lowerCAmelCase   )->  List[Any]:
  return [i * 100 / len(_SCREAMING_SNAKE_CASE   ) for i in cluster]


def 				_a       (				)->  Union[str, Any]:
  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       (				lowerCAmelCase						,	lowerCAmelCase						,	lowerCAmelCase						,	lowerCAmelCase   )->  Union[str, Any]:
  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(_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:
            SCREAMING_SNAKE_CASE_							=       [nodes[j]]
          count += 1
      if count == 0:
        SCREAMING_SNAKE_CASE_							=       ca + 1
      else:
        break


def 				_a       (				lowerCAmelCase						,	lowerCAmelCase   )->  Tuple:
  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(_SCREAMING_SNAKE_CASE   ) - 1:
    create_edge(_SCREAMING_SNAKE_CASE						,	_SCREAMING_SNAKE_CASE						,	_SCREAMING_SNAKE_CASE						,	_SCREAMING_SNAKE_CASE   )
    SCREAMING_SNAKE_CASE_							=       i + 1
  return graph


def 				_a       (				lowerCAmelCase						,	lowerCAmelCase						,	lowerCAmelCase						,	lowerCAmelCase=None   )->  Tuple:
  SCREAMING_SNAKE_CASE_							=       (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       (				lowerCAmelCase						,	lowerCAmelCase						,	lowerCAmelCase   )->  Tuple:
  SCREAMING_SNAKE_CASE_							=       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       (				lowerCAmelCase   )->  str:
  SCREAMING_SNAKE_CASE_							=       []
  for edges in paths:
    SCREAMING_SNAKE_CASE_							=       []
    for j in range(len(_SCREAMING_SNAKE_CASE   ) - 1   ):
      SCREAMING_SNAKE_CASE_							=       list(edges[j]   )
      for e in temp:
        SCREAMING_SNAKE_CASE_							=       (e[0], e[1])
        el.append(_SCREAMING_SNAKE_CASE   )
    freq_sub_el.append(_SCREAMING_SNAKE_CASE   )
  return freq_sub_el


def 				_a       (				lowerCAmelCase   )->  Optional[int]:
  for i in range(len(_SCREAMING_SNAKE_CASE   )   ):
    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)
      SCREAMING_SNAKE_CASE:    int											=   get_frequency_table(edge_array)
      SCREAMING_SNAKE_CASE:    int											=   get_nodes(frequency_table)
      SCREAMING_SNAKE_CASE:    Tuple											=   get_cluster(nodes)
      SCREAMING_SNAKE_CASE:    Any											=   get_support(cluster)
      SCREAMING_SNAKE_CASE:    int											=   construct_graph(cluster, nodes)
      find_freq_subgraph_given_support(6_0, cluster, graph)
      SCREAMING_SNAKE_CASE:    list											=   []
      SCREAMING_SNAKE_CASE:    Union[str, Any]											=   freq_subgraphs_edge_list(paths)
      print_all()





from __future__ import annotations

import random
import string



class       lowercase_		:



						def __init__( self  :      str				,       snake_case__  :      str | None = None     ):

								"""simple docstring"""

								SCREAMING_SNAKE_CASE_							=       passcode or self.__passcode_creator()
								SCREAMING_SNAKE_CASE_							=       self.__make_key_list()
								SCREAMING_SNAKE_CASE_							=       self.__make_shift_key()



						def __str__( self  :      List[Any]     ):

								"""simple docstring"""

								return "".join(self.__passcode     )



						def   __a				( self  :      Union[str, Any]				,       snake_case__  :      list[int]     ):

								"""simple docstring"""

								for i in range(1				,       len(snake_case__     )				,       2     ):
										iterlist[i] *= -1
								return iterlist



						def   __a				( self  :      str     ):

								"""simple docstring"""

								SCREAMING_SNAKE_CASE_							=       string.ascii_letters + string.digits
								SCREAMING_SNAKE_CASE_							=       [random.choice(snake_case__     ) for _ in range(random.randint(10				,       20     )     )]
								return password



						def   __a				( self  :      str     ):

								"""simple docstring"""

								SCREAMING_SNAKE_CASE_							=       (
								    string.ascii_letters + string.digits + string.punctuation + ' \t\n'
								)

								SCREAMING_SNAKE_CASE_							=       []

								# creates points known as breakpoints to break the key_list_options at those
								# points and pivot each substring
								SCREAMING_SNAKE_CASE_							=       sorted(set(self.__passcode     )     )
								SCREAMING_SNAKE_CASE_							=       []

								# algorithm for creating a new shuffled list, keys_l, out of key_list_options
								for i in key_list_options:
										temp_list.extend(snake_case__     )

										# checking breakpoints at which to pivot temporary sublist and add it into
										# keys_l
										if i in breakpoints or i == key_list_options[-1]:
												keys_l.extend(temp_list[::-1]     )
												temp_list.clear()

        # returning a shuffled keys_l to prevent brute force guessing of shift key
								return keys_l



						def   __a				( self  :      Union[str, Any]     ):

								"""simple docstring"""

								SCREAMING_SNAKE_CASE_							=       sum(self.__neg_pos([ord(snake_case__     ) for x in self.__passcode]     )     )
								return num if num > 0 else len(self.__passcode     )



						def   __a				( self  :      str				,       snake_case__  :      str     ):

								"""simple docstring"""

								SCREAMING_SNAKE_CASE_							=       ''

								# decoding shift like Caesar cipher algorithm implementing negative shift or
								# reverse shift or left shift
								for i in encoded_message:
										SCREAMING_SNAKE_CASE_							=       self.__key_list.index(snake_case__     )
										decoded_message += self.__key_list[
										    (position - self.__shift_key) % -len(self.__key_list     )
										]

								return decoded_message






						def   __a				( self  :      Optional[int]				,       snake_case__  :      str     ):

								"""simple docstring"""

								SCREAMING_SNAKE_CASE_							=       ''

								# encoding shift like Caesar cipher algorithm implementing positive shift or
								# forward shift or right shift
								for i in plaintext:
										SCREAMING_SNAKE_CASE_							=       self.__key_list.index(snake_case__     )
										encoded_message += self.__key_list[
										    (position + self.__shift_key) % len(self.__key_list     )
										]

								return encoded_message


def 				_a       (				lowerCAmelCase = "Hello, this is a modified Caesar cipher"   )->  str:
		SCREAMING_SNAKE_CASE_							=       ShuffledShiftCipher()
		return cipa.decrypt(cipa.encrypt(lowerCAmelCase   )   )


if __name__ == "__main__":
						import doctest

						doctest.testmod()