





'''simple docstring'''


from __future__ import annotations

from itertools import permutations
from random import randint
from timeit import repeat
def 							UpperCAmelCase_  (						):
   lowercase_      :Optional[Any]         =			[randint(-10_00     ,10_00			) for i in range(10			)]
   lowercase_      :List[Any]         =			randint(-50_00     ,50_00			)
   return (arr, r)


lowerCAmelCase :					Union[str, Any] 							=make_dataset()
def 							UpperCAmelCase_  (						__lowerCamelCase : list[int]     ,__lowerCamelCase : int			):
   for triplet in permutations(__lowerCamelCase     ,3			):
      if sum(__lowerCamelCase			) == target:
         return tuple(sorted(__lowerCamelCase			)			)
   return (0, 0, 0)
def 							UpperCAmelCase_  (						__lowerCamelCase : list[int]     ,__lowerCamelCase : int			):
   arr.sort()
   lowercase_      :int         =			len(__lowerCamelCase			)
   for i in range(n - 1			):
      lowercase_      ,							lowercase_      :str         =			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 							UpperCAmelCase_  (						):
   lowercase_      :Tuple         =			"\nfrom __main__ import dataset, triplet_sum1, triplet_sum2\n"
   lowercase_      :Dict         =			"\ntriplet_sum1(*dataset)\n"
   lowercase_      :Optional[int]         =			"\ntriplet_sum2(*dataset)\n"
   lowercase_      :List[str]         =			repeat(setup=__lowerCamelCase     ,stmt=__lowerCamelCase     ,repeat=5     ,number=1_00_00			)
   lowercase_      :Union[str, Any]         =			repeat(setup=__lowerCamelCase     ,stmt=__lowerCamelCase     ,repeat=5     ,number=1_00_00			)
   return (min(__lowerCamelCase			), min(__lowerCamelCase			))


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

 testmod()
 lowerCAmelCase :					Any 							=solution_times()
 print(F'''The time for naive implementation is {times[0]}.''')
 print(F'''The time for optimized implementation is {times[1]}.''')









'''simple docstring'''


def 							UpperCAmelCase_  (						__lowerCamelCase : int | float | str			):
   try:
      lowercase_      :Optional[int]         =			float(__lowerCamelCase			)
   except ValueError:
      raise ValueError("Please enter a valid number"			)
   lowercase_      :Dict         =			decimal - int(__lowerCamelCase			)
   if fractional_part == 0:
      return int(__lowerCamelCase			), 1
   else:
      lowercase_      :Tuple         =			len(str(__lowerCamelCase			).split("."			)[1]			)
      lowercase_      :Optional[Any]         =			int(decimal * (10**number_of_frac_digits)			)
      lowercase_      :Dict         =			10**number_of_frac_digits
      lowercase_      ,							lowercase_      :Optional[int]         =			denominator, numerator
      while True:
         lowercase_      :Any         =			dividend % divisor
         if remainder == 0:
            break
         lowercase_      ,							lowercase_      :Optional[int]         =			divisor, remainder
      lowercase_      ,							lowercase_      :Optional[int]         =			numerator / divisor, denominator / divisor
      return int(__lowerCamelCase			), int(__lowerCamelCase			)


if __name__ == "__main__":
 print(F'''{decimal_to_fraction(2) = }''')
 print(F'''{decimal_to_fraction(89.0) = }''')
 print(F'''{decimal_to_fraction('67') = }''')
 print(F'''{decimal_to_fraction('45.0') = }''')
 print(F'''{decimal_to_fraction(1.5) = }''')
 print(F'''{decimal_to_fraction('6.25') = }''')
 print(F'''{decimal_to_fraction('78td') = }''')


