
from __future__ import annotations

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






def   lowerCamelCase__							(					)      ->   tuple[list[int], int]:
   _A:  int					=       [randint(-10_00		,		10_00      ) for i in range(10      )]
   _A:  Tuple					=       randint(-50_00		,		50_00      )
   return (arr, r)


UpperCAmelCase__		:     Dict     			=      make_dataset()






def   lowerCamelCase__							(					a		,		a      )      ->   tuple[int, ...]:
   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]:
   arr.sort()
   _A:  Optional[int]					=       len(a      )
   for i in range(n - 1      ):
      _A			,  _A:  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   lowerCamelCase__							(					)      ->   tuple[float, float]:
   _A:  Union[str, Any]					=       '''
from __main__ import dataset, triplet_sum1, triplet_sum2
'''
   _A:  List[str]					=       '''
triplet_sum1(*dataset)
'''
   _A:  int					=       '''
triplet_sum2(*dataset)
'''
   _A:  Any					=       repeat(setup=a		,		stmt=a		,		repeat=5		,		number=1_00_00      )
   _A:  List[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()
   UpperCAmelCase__		:     Optional[Any]     			=      solution_times()
   print(F"""The time for naive implementation is {times[0]}.""")
   print(F"""The time for optimized implementation is {times[1]}.""")





def   lowerCamelCase__							(					a		,		a      )      ->   str:
   if a < 0 or b < 0:
      raise ValueError('''the value of both inputs must be positive'''      )

   _A:  Union[str, Any]					=       str(bin(a      )      )[2:]  # remove the leading "0b"
   _A:  Union[str, Any]					=       str(bin(a      )      )[2:]  # remove the leading "0b"

   _A:  Optional[int]					=       max(len(a      )		,		len(a      )      )

   return "0b" + "".join(
       str(int(char_a != char_b      )      )
       for char_a, char_b in zip(a_binary.zfill(a      )		,		b_binary.zfill(a      )      )      )


if __name__ == "__main__":
   import doctest

   doctest.testmod()



