
"""simple docstring"""





from __future__ import annotations

from itertools import permutations
from random import randint
from timeit import repeat
def 							A_     ():

     '''simple docstring'''





     A_				 =						[randint(-1000				,   1000				) for i in range(10				)]
     A_				 =						randint(-5000				,   5000				)
     return (arr, r)


UpperCamelCase_					:						List[str]				= make_dataset()
def 							A_     (__a				,   __a				):

     '''simple docstring'''





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

     '''simple docstring'''





     arr.sort()
     A_				 =						len(__a				)
     for i in range(n - 1				):
          A_ ,    A_				 =						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 							A_     ():

     '''simple docstring'''





     A_				 =						"\nfrom __main__ import dataset, triplet_sum1, triplet_sum2\n"
     A_				 =						"\ntriplet_sum1(*dataset)\n"
     A_				 =						"\ntriplet_sum2(*dataset)\n"
     A_				 =						repeat(setup=__a				,   stmt=__a				,   repeat=5				,   number=1_0000				)
     A_				 =						repeat(setup=__a				,   stmt=__a				,   repeat=5				,   number=1_0000				)
     return (min(__a				), min(__a				))


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

  testmod()
  UpperCamelCase_					:						Union[str, 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"""





from __future__ import annotations

import math

UpperCamelCase_					:						List[str]				= '''2020.9.26'''
UpperCamelCase_					:						List[Any]				= '''xcodz-dot, cclaus, dhruvmanila'''
def 							A_     (__a				,   __a				,   __a				,   __a				,   __a				):

					'''simple docstring'''





					if not all(isinstance(__a				,   (float, int)				) for val in locals().values()				):
										A_				 =						f'Input values must either be float or int: {list(locals().values()				)}'
										raise TypeError(__a				)
					A_				 =						((x * distance) / (z + distance)) * scale
					A_				 =						((y * distance) / (z + distance)) * scale
					return projected_x, projected_y
def 							A_     (__a				,   __a				,   __a				,   __a				,   __a				):

					'''simple docstring'''





					if not isinstance(__a				,   __a				):
										raise TypeError("Axis must be a str"				)
					A_				 =						locals()
					del input_variables["axis"]
					if not all(isinstance(__a				,   (float, int)				) for val in input_variables.values()				):
										A_				 =						(
										    "Input values except axis must either be float or int: "
										    f'{list(input_variables.values()				)}'
										)
										raise TypeError(__a				)
					A_				 =						(angle % 360) / 450 * 180 / math.pi
					if axis == "z":
										A_				 =						x * math.cos(__a				) - y * math.sin(__a				)
										A_				 =						y * math.cos(__a				) + x * math.sin(__a				)
										A_				 =						z
					elif axis == "x":
										A_				 =						y * math.cos(__a				) - z * math.sin(__a				)
										A_				 =						z * math.cos(__a				) + y * math.sin(__a				)
										A_				 =						x
					elif axis == "y":
										A_				 =						x * math.cos(__a				) - z * math.sin(__a				)
										A_				 =						z * math.cos(__a				) + x * math.sin(__a				)
										A_				 =						y
					else:
										raise ValueError("not a valid axis, choose one of 'x', 'y', 'z'"				)

					return new_x, new_y, new_z


if __name__ == "__main__":
		import doctest

		doctest.testmod()
		print(F"""{convert_to_ad(1.0, 2.0, 3.0, 10.0, 10.0) = }""")
		print(F"""{rotate(1.0, 2.0, 3.0, 'y', 90.0) = }""")




