



'''simple docstring'''






from __future__ import annotations

UpperCamelCase__:   List[str]								=			10


def  snake_case_     (					_lowerCAmelCase  :						list[int]  )      ->   list[int]:
							UpperCAmelCase :       Tuple 							=		1
							UpperCAmelCase :       List[Any] 							=		max(_lowerCAmelCase  )
							while placement <= max_digit:
														# declare and initialize empty buckets
														UpperCAmelCase :       list[list] 							=		[[] for _ in range(_lowerCAmelCase  )]
														# split list_of_ints between the buckets
														for i in list_of_ints:
																					UpperCAmelCase :       List[Any] 							=		int((i / placement) % RADIX  )
																					buckets[tmp].append(_lowerCAmelCase  )
														# put each buckets' contents into list_of_ints
														UpperCAmelCase :       Dict 							=		0
														for b in range(_lowerCAmelCase  ):
																					for i in buckets[b]:
																												UpperCAmelCase :       str 							=		i
																												a += 1
        # move to next
														placement *= RADIX
							return list_of_ints


if __name__ == "__main__":
						import doctest

						doctest.testmod()












from collections import defaultdict

from graphs.minimum_spanning_tree_prims import prisms_algorithm as mst





def      lowerCAmelCase_ (       )     ->		Optional[int]:







  """simple docstring"""





  lowerCamelCase__  ,					lowerCamelCase__:      int			  =9, 14  # noqa: F841
  lowerCamelCase__:      List[Any]			  =[
      [0, 1, 4],
      [0, 7, 8],
      [1, 2, 8],
      [7, 8, 7],
      [7, 6, 1],
      [2, 8, 2],
      [8, 6, 6],
      [2, 3, 7],
      [2, 5, 4],
      [6, 5, 2],
      [3, 5, 14],
      [3, 4, 9],
      [5, 4, 10],
      [1, 7, 11],
  ]

  lowerCamelCase__:      List[str]			  =defaultdict(__a		)
  for nodea, nodea, cost in edges:
    adjancency[nodea].append([nodea, cost]		)
    adjancency[nodea].append([nodea, cost]		)

  lowerCamelCase__:      List[str]			  =mst(__a		)

  lowerCamelCase__:      Union[str, Any]			  =[
      [7, 6, 1],
      [2, 8, 2],
      [6, 5, 2],
      [0, 1, 4],
      [2, 5, 4],
      [2, 3, 7],
      [0, 7, 8],
      [3, 4, 9],
  ]

  for answer in expected:
    lowerCamelCase__:      Optional[int]			  =tuple(answer[:2]		)
    lowerCamelCase__:      List[Any]			  =tuple(edge[::-1]		)
    assert edge in result or reverse in result

