






"""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		:	str      =		{
    '''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 						lowercase   (    __snake_case    :			dict[str, list[str]]     ):
		lowercase_			:			List[str]								=       {node: {node} for node in graph}

		lowercase_			:			Any								=       {node: graph[node][:] for node in graph}

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

				# Contract edge (u, v) to new node uv
				lowercase_			:			Optional[int]								=       u + v
				lowercase_			:			Dict								=       list(set(graph_copy[u] + graph_copy[v]     )     )
				uv_neighbors.remove(__snake_case     )
				uv_neighbors.remove(__snake_case     )
				lowercase_			:			Tuple								=       uv_neighbors
				for neighbor in uv_neighbors:
						graph_copy[neighbor].append(__snake_case     )

				lowercase_			:			Optional[int]								=       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(__snake_case     )
						if v in graph_copy[neighbor]:
								graph_copy[neighbor].remove(__snake_case     )

    # Find cutset.
		lowercase_			:			int								=       [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"""



def 						lowercase   (    __snake_case    :			str = "mytext.txt"		, __snake_case    :			bool = False     ):
		import socket

		lowercase_			:			List[str]								=       1_2_3_1_2  # Reserve a port for your service.
		lowercase_			:			Dict								=       socket.socket()  # Create a socket object
		lowercase_			:			int								=       socket.gethostname()  # Get local machine name
		sock.bind((host, port)     )  # Bind to the port
		sock.listen(5     )  # Now wait for client connection.

		print('''Server listening....'''     )

		while True:
				lowercase_	, lowercase_			:			int								=       sock.accept()  # Establish connection with client.
				print(F'''Got connection from {addr}'''     )
				lowercase_			:			List[Any]								=       conn.recv(1_0_2_4     )
				print(F'''Server received: {data = }'''     )

				with open(__snake_case		, '''rb'''     ) as in_file:
						lowercase_			:			List[Any]								=       in_file.read(1_0_2_4     )
						while data:
								conn.send(__snake_case     )
								print(F'''Sent {data!r}'''     )
								lowercase_			:			List[Any]								=       in_file.read(1_0_2_4     )

				print('''Done sending'''     )
				conn.close()
				if testing:  # Allow the test to complete
						break

		sock.shutdown(1     )
		sock.close()


if __name__ == "__main__":
						send_file()



