
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
_lowerCamelCase :       Any     					=    {
    '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  a_	( __lowercase     :			Tuple				)				->						Dict:
			_snake_case						=    {node: {node} for node in graph}

			_snake_case						=    {node: graph[node][:] for node in graph}

			while len(_A				) > 2:
						# Choose a random edge.
						_snake_case						=    random.choice(list(graph_copy.keys()				)				)
						_snake_case						=    random.choice(graph_copy[u]				)

						# Contract edge (u, v) to new node uv
						_snake_case						=    u + v
						_snake_case						=    list(set(graph_copy[u] + graph_copy[v]				)				)
						uv_neighbors.remove(_A				)
						uv_neighbors.remove(_A				)
						_snake_case						=    uv_neighbors
						for neighbor in uv_neighbors:
									graph_copy[neighbor].append(_A				)

						_snake_case						=    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(_A				)
									if v in graph_copy[neighbor]:
												graph_copy[neighbor].remove(_A				)

    # Find cutset.
			_snake_case						=    [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))


from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_sentencepiece_available, is_tokenizers_available


_lowerCamelCase :       Optional[int]     					=    {}

try:
			if not is_sentencepiece_available():
						raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
			pass
else:
			_lowerCamelCase :       List[str]     					=    ['''MBart50Tokenizer''']

try:
			if not is_tokenizers_available():
						raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
			pass
else:
			_lowerCamelCase :       Optional[int]     					=    ['''MBart50TokenizerFast''']


if TYPE_CHECKING:
			try:
						if not is_sentencepiece_available():
									raise OptionalDependencyNotAvailable()
			except OptionalDependencyNotAvailable:
						pass
			else:
						from .tokenization_mbartaa import MBartaaTokenizer

			try:
						if not is_tokenizers_available():
									raise OptionalDependencyNotAvailable()
			except OptionalDependencyNotAvailable:
						pass
			else:
						from .tokenization_mbartaa_fast import MBartaaTokenizerFast

else:
			import sys

			_lowerCamelCase :       int     					=    _LazyModule(__name__, globals()['''__file__'''], _import_structure, module_spec=__spec__)