"""simple docstring"""






from __future__ import annotations

import random

# Adjacency list representation of this graph:
# https://en.wikipedia.org/wiki/File:Single_run_of_Karger%E2%80%99s_Mincut_algorithm.svg
__A         =				{
    "1": ["2", "3", "4", "5"],
    "2": ["1", "3", "4", "5"],
    "3": ["1", "2", "4", "5", "10"],
    "4": ["1", "2", "3", "5", "6"],
    "5": ["1", "2", "3", "4", "7"],
    "6": ["7", "8", "9", "10", "4"],
    "7": ["6", "8", "9", "10", "5"],
    "8": ["6", "7", "9", "10"],
    "9": ["6", "7", "8", "10"],
    "10": ["6", "7", "8", "9", "3"],
}



def SCREAMING_SNAKE_CASE__    (     __UpperCAmelCase				):
   lowercase__:     Union[str, Any]      =   {node: {node} for node in graph}

   lowercase__:     Dict      =   {node: graph[node][:] for node in graph}

   while len(__UpperCAmelCase				) > 2:
      # Choose a random edge.
      lowercase__:     int      =   random.choice(list(graph_copy.keys()				)				)
      lowercase__:     Optional[int]      =   random.choice(graph_copy[u]				)

      # Contract edge (u, v) to new node uv
      lowercase__:     List[Any]      =   u + v
      lowercase__:     Optional[int]      =   list(set(graph_copy[u] + graph_copy[v]				)				)
      uv_neighbors.remove(__UpperCAmelCase				)
      uv_neighbors.remove(__UpperCAmelCase				)
      lowercase__:     Any      =   uv_neighbors
      for neighbor in uv_neighbors:
         graph_copy[neighbor].append(__UpperCAmelCase				)

      lowercase__:     Any      =   set(contracted_nodes[u].union(contracted_nodes[v]				)				)

      # Remove nodes u and v.
      del graph_copy[u]
      del graph_copy[v]
      for neighbor in uv_neighbors:
         if u in graph_copy[neighbor]:
            graph_copy[neighbor].remove(__UpperCAmelCase				)
         if v in graph_copy[neighbor]:
            graph_copy[neighbor].remove(__UpperCAmelCase				)

    # Find cutset.
   lowercase__:     str      =   [contracted_nodes[node] for node in graph_copy]
   return {
       (node, neighbor)
       for node in groups[0]
       for neighbor in graph[node]
       if neighbor in groups[1]
   }


if __name__ == "__main__":
       print(partition_graph(TEST_GRAPH))

"""simple docstring"""






class 					UpperCAmelCase		:



    """simple docstring"""

    def __init__(     self					,    _UpperCAmelCase=None							):
       lowercase__:     Optional[int]      =   data
       lowercase__:     Dict      =   None






    def __repr__(     self							):
       lowercase__:     int      =   ''''''
       lowercase__:     Any      =   self
       while temp:
          string_rep += F"""<{temp.data}> ---> """
          lowercase__:     Any      =   temp.next
       string_rep += "<END>"
       return string_rep



def SCREAMING_SNAKE_CASE__    (     __UpperCAmelCase				)						->						str:

   # if elements_list is empty
   if not elements_list:
      raise Exception('''The Elements List is empty'''				)

   # Set first element as Head
   lowercase__:     Union[str, Any]      =   Node(elements_list[0]				)
   lowercase__:     List[str]      =   head
   # Loop through elements from position 1
   for data in elements_list[1:]:
      lowercase__:     Tuple      =   Node(__UpperCAmelCase				)
      lowercase__:     Tuple      =   current.next
   return head


__A         =				[1, 3, 5, 3_2, 4_4, 1_2, 4_3]
print(f'''List: {list_data}''')
print("Creating Linked List from List.")
__A         =				make_linked_list(list_data)
print("Linked List:")




print(linked_list)
