



'''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()






'''simple docstring'''


def 				__lowerCamelCase				(   A__    )       ->	list:






   """simple docstring"""
   UpperCamelCase					=  len(A__    )
   for i in range(1    ,						A__    ):
      UpperCamelCase					=  collection[i]
      UpperCamelCase					=  0
      UpperCamelCase					=  i - 1

      while low <= high:
         UpperCamelCase					=  (low + high) // 2
         if val < collection[mid]:
            UpperCamelCase					=  mid - 1
         else:
            UpperCamelCase					=  mid + 1
      for j in range(A__    ,						A__    ,						-1    ):
         UpperCamelCase					=  collection[j - 1]
      UpperCamelCase					=  val
   return collection


if __name__ == "__main__":
   _lowerCamelCase	:       int      	=	input("Enter numbers separated by a comma:\n").strip()
   _lowerCamelCase	:       Union[str, Any]      	=	[int(item) for item in user_input.split(",")]
   print(binary_insertion_sort(unsorted))

