



"""simple docstring"""






def 	snake_case_  (				A_ :		Any						):


       '''simple docstring'''





       return [
           {
               0: [1, 2],
               1: [0, 2],
               2: [0, 1, 3, 5],
               3: [2, 4],
               4: [3],
               5: [2, 6, 8],
               6: [5, 7],
               7: [6, 8],
               8: [5, 7],
           },
           {
               0: [6],
               1: [9],
               2: [4, 5],
               3: [4],
               4: [2, 3],
               5: [2],
               6: [0, 7],
               7: [6],
               8: [],
               9: [1],
           },
           {
               0: [4],
               1: [6],
               2: [],
               3: [5, 6, 7],
               4: [0, 6],
               5: [3, 8, 9],
               6: [1, 3, 4, 7],
               7: [3, 6, 8, 9],
               8: [5, 7],
               9: [5, 7],
           },
           {
               0: [1, 3],
               1: [0, 2, 4],
               2: [1, 3, 4],
               3: [0, 2, 4],
               4: [1, 2, 3],
           },
       ][index]






def 	snake_case_  (				A_ :		dict[int, list[int]]						):


       '''simple docstring'''





       _lowerCamelCase						:    int         =			0
       _lowerCamelCase						:    Optional[int]         =			len(A_						)  # No of vertices in graph
       _lowerCamelCase						:    Dict         =			[0] * n
       _lowerCamelCase						:    int         =			[False] * n

       def dfs(A_ :		Optional[int],    A_ :		Optional[int],    A_ :		Optional[Any],    A_ :		str						):
              _lowerCamelCase						:    Tuple         =			True
              _lowerCamelCase						:    Optional[int]         =			id_
              id_ += 1
              for to in graph[at]:
                     if to == parent:
                            pass
                     elif not visited[to]:
                            dfs(A_,    A_,    A_,    id_						)
                            _lowerCamelCase						:    int         =			min(low[at],    low[to]						)
                            if id_ <= low[to]:
                                   bridges.append((at, to) if at < to else (to, at)						)
                     else:
                            # This edge is a back edge and cannot be a bridge
                            _lowerCamelCase						:    Tuple         =			min(low[at],    low[to]						)

       _lowerCamelCase						:    list[tuple[int, int]]         =			[]
       for i in range(A_						):
              if not visited[i]:
                     dfs(A_,    -1,    A_,    id_						)
       return bridges


if __name__ == "__main__":
   import doctest

   doctest.testmod()







"""simple docstring"""






from __future__ import annotations

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






def 	snake_case_  (				):


       '''simple docstring'''





       _lowerCamelCase						:    Optional[Any]         =			[randint(-10_00,    10_00						) for i in range(10						)]
       _lowerCamelCase						:    Tuple         =			randint(-50_00,    50_00						)
       return (arr, r)


lowerCAmelCase__      =    make_dataset()






def 	snake_case_  (				A_ :		list[int],    A_ :		int						):


       '''simple docstring'''





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






def 	snake_case_  (				A_ :		list[int],    A_ :		int						):


       '''simple docstring'''





       arr.sort()
       _lowerCamelCase						:    Optional[Any]         =			len(A_						)
       for i in range(n - 1						):
              _lowerCamelCase      ,   _lowerCamelCase						:    int         =			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 	snake_case_  (				):


       '''simple docstring'''





       _lowerCamelCase						:    Tuple         =			'''
from __main__ import dataset, triplet_sum1, triplet_sum2
'''
       _lowerCamelCase						:    List[Any]         =			'''
triplet_sum1(*dataset)
'''
       _lowerCamelCase						:    str         =			'''
triplet_sum2(*dataset)
'''
       _lowerCamelCase						:    Optional[int]         =			repeat(setup=A_,    stmt=A_,    repeat=5,    number=1_00_00						)
       _lowerCamelCase						:    Union[str, Any]         =			repeat(setup=A_,    stmt=A_,    repeat=5,    number=1_00_00						)
       return (min(A_						), min(A_						))


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

   testmod()
   lowerCAmelCase__      =    solution_times()
   print(F"""The time for naive implementation is {times[0]}.""")
   print(F"""The time for optimized implementation is {times[1]}.""")


