





from __future__ import annotations

from itertools import permutations
from random import randint
from timeit import repeat





def      lowerCAmelCase_ (       )     ->		tuple[list[int], int]:







  """simple docstring"""





  lowerCamelCase__:      List[Any]			  =[randint(-1000	,    1000		) for i in range(10		)]
  lowerCamelCase__:      str			  =randint(-5000	,    5000		)
  return (arr, r)


__A									=				make_dataset()





def      lowerCAmelCase_ (       __a	,    __a		)     ->		tuple[int, ...]:







  """simple docstring"""





  for triplet in permutations(__a	,    3		):
    if sum(__a		) == target:
      return tuple(sorted(__a		)		)
  return (0, 0, 0)





def      lowerCAmelCase_ (       __a	,    __a		)     ->		tuple[int, int, int]:







  """simple docstring"""





  arr.sort()
  lowerCamelCase__:      int			  =len(__a		)
  for i in range(n - 1		):
    lowerCamelCase__  ,					lowerCamelCase__:      Union[str, Any]			  =i + 1, n - 1
    while left < right:
      if arr[i] + arr[left] + arr[right] == target:
        return (arr[i], arr[left], arr[right])
      elif arr[i] + arr[left] + arr[right] < target:
        left += 1
      elif arr[i] + arr[left] + arr[right] > target:
        right -= 1
  return (0, 0, 0)





def      lowerCAmelCase_ (       )     ->		tuple[float, float]:







  """simple docstring"""





  lowerCamelCase__:      Optional[Any]			  ="\nfrom __main__ import dataset, triplet_sum1, triplet_sum2\n"
  lowerCamelCase__:      Any			  ="\ntriplet_sum1(*dataset)\n"
  lowerCamelCase__:      Optional[Any]			  ="\ntriplet_sum2(*dataset)\n"
  lowerCamelCase__:      int			  =repeat(setup=__a	,    stmt=__a	,    repeat=5	,    number=10000		)
  lowerCamelCase__:      Optional[int]			  =repeat(setup=__a	,    stmt=__a	,    repeat=5	,    number=10000		)
  return (min(__a		), min(__a		))


if __name__ == "__main__":
     from doctest import testmod

     testmod()
     __A									=				solution_times()
     print(f'The time for naive implementation is {times[0]}.')
     print(f'The time for optimized implementation is {times[1]}.')








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

