



'''simple docstring'''


from __future__ import annotations

import math

import numpy as np
from numpy.linalg import norm







def 				__lowerCamelCase				(   A__    ,						A__    )       ->	float:






   """simple docstring"""
   return math.sqrt(sum(pow(a - b    ,						2    ) for a, b in zip(A__    ,						A__    )    )    )







def 				__lowerCamelCase				(   A__    ,						A__    )       ->	list[list[list[float] | float]]:






   """simple docstring"""

   if dataset.ndim != value_array.ndim:
      UpperCamelCase					=  (
          'Wrong input data\'s dimensions... '
          F"""dataset : {dataset.ndim}, value_array : {value_array.ndim}"""
      )
      raise ValueError(A__    )

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

   if dataset.dtype != value_array.dtype:
      UpperCamelCase					=  (
          'Input data have different datatype... '
          F"""dataset : {dataset.dtype}, value_array : {value_array.dtype}"""
      )
      raise TypeError(A__    )

   UpperCamelCase					=  []

   for value in value_array:
      UpperCamelCase					=  euclidean(A__    ,						dataset[0]    )
      UpperCamelCase					=  dataset[0].tolist()

      for dataset_value in dataset[1:]:
         UpperCamelCase					=  euclidean(A__    ,						A__    )

         if dist > temp_dist:
            UpperCamelCase					=  temp_dist
            UpperCamelCase					=  dataset_value.tolist()

      answer.append([vector, dist]    )

   return answer







def 				__lowerCamelCase				(   A__    ,						A__    )       ->	float:






   """simple docstring"""
   return np.dot(A__    ,						A__    ) / (norm(A__    ) * norm(A__    ))


if __name__ == "__main__":
   import doctest

   doctest.testmod()


from __future__ import annotations





def    __lowercase     (						lowerCamelCase					:     Optional[Any]  ,  lowerCamelCase					:     Dict  ,  lowerCamelCase					:     Union[str, Any]  ,  lowerCamelCase					:     List[str]	):  # noqa: E741
 while r - l > 1:
  UpperCamelCase_					:						Union[str, Any] =					(l + r) // 2
  if v[m] >= key:
   UpperCamelCase_					:						str =					m
  else:
   UpperCamelCase_					:						List[Any] =					m  # noqa: E741
 return r





def    __lowercase     (						lowerCamelCase					:     list[int]	):
 if len(lowerCamelCase	) == 0:
  return 0

 UpperCamelCase_					:						Tuple =					[0] * len(lowerCamelCase	)
 UpperCamelCase_					:						int =					1

 UpperCamelCase_					:						Dict =					v[0]

 for i in range(1  ,  len(lowerCamelCase	)	):
  if v[i] < tail[0]:
   UpperCamelCase_					:						Any =					v[i]
  elif v[i] > tail[length - 1]:
   UpperCamelCase_					:						Dict =					v[i]
   length += 1
  else:
   UpperCamelCase_					:						List[str] =					v[i]

 return length


if __name__ == "__main__":
   import doctest

   doctest.testmod()



