


'''simple docstring'''






from __future__ import annotations

import math

import numpy as np
from numpy.linalg import norm





def lowerCamelCase__      (						__lowerCamelCase	:							np.ndarray	,   __lowerCamelCase	:							np.ndarray							):







   '''simple docstring'''




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





def lowerCamelCase__      (						__lowerCamelCase	:							np.ndarray	,   __lowerCamelCase	:							np.ndarray							):







   '''simple docstring'''




   if dataset.ndim != value_array.ndim:
      _UpperCAmelCase       :       Dict							   =(
          'Wrong input data\'s dimensions... '
          f"dataset : {dataset.ndim}, value_array : {value_array.ndim}"
      )
      raise ValueError(__lowerCamelCase							)

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

   if dataset.dtype != value_array.dtype:
      _UpperCAmelCase       :       Any							   =(
          'Input data have different datatype... '
          f"dataset : {dataset.dtype}, value_array : {value_array.dtype}"
      )
      raise TypeError(__lowerCamelCase							)

   _UpperCAmelCase       :       List[Any]							   =[]

   for value in value_array:
      _UpperCAmelCase       :       Tuple							   =euclidean(__lowerCamelCase	,   dataset[0]							)
      _UpperCAmelCase       :       Optional[Any]							   =dataset[0].tolist()

      for dataset_value in dataset[1:]:
         _UpperCAmelCase       :       Dict							   =euclidean(__lowerCamelCase	,   __lowerCamelCase							)

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

      answer.append([vector, dist]							)

   return answer





def lowerCamelCase__      (						__lowerCamelCase	:							np.ndarray	,   __lowerCamelCase	:							np.ndarray							):







   '''simple docstring'''




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


if __name__ == "__main__":
 import doctest

 doctest.testmod()





'''simple docstring'''






lowercase							=[0, 2, 4, 6, 8]
lowercase							=[1, 3, 5, 7, 9]





def lowerCamelCase__      (						__lowerCamelCase	:							int	,   __lowerCamelCase	:							int	,   __lowerCamelCase	:							list[int]	,   __lowerCamelCase	:							int							):







   '''simple docstring'''




   if remaining_length == 0:
      if digits[0] == 0 or digits[-1] == 0:
         return 0

      for i in range(length // 2 - 1	,   -1	,   -1							):
         remainder += digits[i] + digits[length - i - 1]

         if remainder % 2 == 0:
            return 0

         remainder //= 1_0

      return 1

   if remaining_length == 1:
      if remainder % 2 == 0:
         return 0

      _UpperCAmelCase       :       Union[str, Any]							   =0
      for digit in range(1_0							):
         _UpperCAmelCase       :       str							   =digit
         result += reversible_numbers(
             0	,   (remainder + 2 * digit) // 1_0	,   __lowerCamelCase	,   __lowerCamelCase							)
      return result

   _UpperCAmelCase       :       Optional[Any]							   =0
   for digita in range(1_0							):
      _UpperCAmelCase       :       Any							   =digita

      if (remainder + digita) % 2 == 0:
         _UpperCAmelCase       :       Optional[int]							   =ODD_DIGITS
      else:
         _UpperCAmelCase       :       Union[str, Any]							   =EVEN_DIGITS

      for digita in other_parity_digits:
         _UpperCAmelCase       :       int							   =digita
         result += reversible_numbers(
             remaining_length - 2	,   (remainder + digita + digita) // 1_0	,   __lowerCamelCase	,   __lowerCamelCase	,   )
   return result





def lowerCamelCase__      (						__lowerCamelCase	:							int = 9							):







   '''simple docstring'''




   _UpperCAmelCase       :       Optional[int]							   =0
   for length in range(1	,   max_power + 1							):
      result += reversible_numbers(__lowerCamelCase	,   0	,   [0] * length	,   __lowerCamelCase							)
   return result


if __name__ == "__main__":
 print(F"""{solution() = }""")

