




'''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 				A_					(	snake_case	):
  SCREAMING_SNAKE_CASE:Optional[Any]   =   {node: {node} for node in graph}

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

  while len(snake_case	) > 2:
    # Choose a random edge.
    SCREAMING_SNAKE_CASE:Dict   =   random.choice(list(graph_copy.keys()	)	)
    SCREAMING_SNAKE_CASE:Tuple   =   random.choice(graph_copy[u]	)

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

    SCREAMING_SNAKE_CASE:Dict   =   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.
  SCREAMING_SNAKE_CASE:Optional[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'''

from typing import TYPE_CHECKING

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


A_      =							{"configuration_yoso": ["YOSO_PRETRAINED_CONFIG_ARCHIVE_MAP", "YosoConfig"]}

try:
    if not is_torch_available():
        raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
    pass
else:
    A_      =							[
        "YOSO_PRETRAINED_MODEL_ARCHIVE_LIST",
        "YosoForMaskedLM",
        "YosoForMultipleChoice",
        "YosoForQuestionAnswering",
        "YosoForSequenceClassification",
        "YosoForTokenClassification",
        "YosoLayer",
        "YosoModel",
        "YosoPreTrainedModel",
    ]


if TYPE_CHECKING:
    from .configuration_yoso import YOSO_PRETRAINED_CONFIG_ARCHIVE_MAP, YosoConfig

    try:
        if not is_torch_available():
            raise OptionalDependencyNotAvailable()
    except OptionalDependencyNotAvailable:
        pass
    else:
        from .modeling_yoso import (
            YOSO_PRETRAINED_MODEL_ARCHIVE_LIST,
            YosoForMaskedLM,
            YosoForMultipleChoice,
            YosoForQuestionAnswering,
            YosoForSequenceClassification,
            YosoForTokenClassification,
            YosoLayer,
            YosoModel,
            YosoPreTrainedModel,
        )


else:
    import sys

    A_      =							_LazyModule(__name__, globals()["__file__"], _import_structure)






