


from __future__ import annotations

import math

import numpy as np
from numpy.linalg import norm






def 		lowercase_(  SCREAMING_SNAKE_CASE_      ,						SCREAMING_SNAKE_CASE_	):


  '''simple docstring'''

  return math.sqrt(sum(pow(a - b      ,						2	) for a, b in zip(_lowercase      ,						_lowercase	)	)	)






def 		lowercase_(  SCREAMING_SNAKE_CASE_      ,						SCREAMING_SNAKE_CASE_	):


  '''simple docstring'''

  if dataset.ndim != value_array.ndim:
    lowerCamelCase :					str    =				(
        "Wrong input data's dimensions... "
        f"""dataset : {dataset.ndim}, value_array : {value_array.ndim}"""
    )
    raise ValueError(_lowercase	)

  try:
    if dataset.shape[1] != value_array.shape[1]:
      lowerCamelCase :					int    =				(
          "Wrong input data's shape... "
          f"""dataset : {dataset.shape[1]}, value_array : {value_array.shape[1]}"""
      )
      raise ValueError(_lowercase	)
  except IndexError:
    if dataset.ndim != value_array.ndim:
      raise TypeError("Wrong shape"	)

  if dataset.dtype != value_array.dtype:
    lowerCamelCase :					Union[str, Any]    =				(
        "Input data have different datatype... "
        f"""dataset : {dataset.dtype}, value_array : {value_array.dtype}"""
    )
    raise TypeError(_lowercase	)

  lowerCamelCase :					str    =				[]

  for value in value_array:
    lowerCamelCase :					List[Any]    =				euclidean(_lowercase      ,						dataset[0]	)
    lowerCamelCase :					str    =				dataset[0].tolist()

    for dataset_value in dataset[1:]:
      lowerCamelCase :					Tuple    =				euclidean(_lowercase      ,						_lowercase	)

      if dist > temp_dist:
        lowerCamelCase :					Dict    =				temp_dist
        lowerCamelCase :					Optional[int]    =				dataset_value.tolist()

    answer.append([vector, dist]	)

  return answer






def 		lowercase_(  SCREAMING_SNAKE_CASE_      ,						SCREAMING_SNAKE_CASE_	):


  '''simple docstring'''

  return np.dot(_lowercase      ,						_lowercase	) / (norm(_lowercase	) * norm(_lowercase	))


if __name__ == "__main__":
   import doctest

   doctest.testmod()










"""simple docstring"""




from decimal import Decimal, getcontext
from math import ceil, factorial






def       _SCREAMING_SNAKE_CASE		(	_lowercase						:    int					) ->str:






	'''simple docstring'''






	if not isinstance(_lowercase    ,       _lowercase					):
		raise TypeError("Undefined for non-integers"					)
	elif precision < 1:
		raise ValueError("Undefined for non-natural numbers"					)

	a      :		Tuple	=				precision
	a      :		str	=				ceil(precision / 14					)
	a      :		List[Any]	=				42_6880 * Decimal(1_0005					).sqrt()
	a      :		Union[str, Any]	=				1
	a      :		Dict	=				1359_1409
	a      :		Optional[int]	=				Decimal(_lowercase					)
	for k in range(1    ,       _lowercase					):
		a      :		int	=				factorial(6 * k					) // (factorial(3 * k					) * factorial(_lowercase					) ** 3)
		linear_term += 5_4514_0134
		exponential_term *= -26_2537_4126_4076_8000
		partial_sum += Decimal(multinomial_term * linear_term					) / exponential_term
	return str(constant_term / partial_sum					)[:-1]


if __name__ == "__main__":
		a						: Optional[Any]     	=			50
		print(F'''The first {n} digits of pi is: {pi(n)}''')


