

'''simple docstring'''

from __future__ import annotations

import math

import numpy as np
from numpy.linalg import norm




def 							_UpperCamelCase				(   lowerCAmelCase__:					np.ndarray		,lowerCAmelCase__:					np.ndarray   )      -> float:
							return math.sqrt(sum(pow(a - b		,2   ) for a, b in zip(lowerCAmelCase__		,lowerCAmelCase__   )   )   )




def 							_UpperCamelCase				(   lowerCAmelCase__:					np.ndarray		,lowerCAmelCase__:					np.ndarray   )      -> list[list[list[float] | float]]:

							if dataset.ndim != value_array.ndim:
														SCREAMING_SNAKE_CASE_				=				(
														    '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]:
																					SCREAMING_SNAKE_CASE_				=				(
																					    '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:
														SCREAMING_SNAKE_CASE_				=				(
														    'Input data have different datatype... '
														    F"""dataset : {dataset.dtype}, value_array : {value_array.dtype}"""
														)
														raise TypeError(lowerCAmelCase__   )

							SCREAMING_SNAKE_CASE_				=				[]

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

														for dataset_value in dataset[1:]:
																					SCREAMING_SNAKE_CASE_				=				euclidean(lowerCAmelCase__		,lowerCAmelCase__   )

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

														answer.append([vector, dist]   )

							return answer




def 							_UpperCamelCase				(   lowerCAmelCase__:					np.ndarray		,lowerCAmelCase__:					np.ndarray   )      -> float:
							return np.dot(lowerCAmelCase__		,lowerCAmelCase__   ) / (norm(lowerCAmelCase__   ) * norm(lowerCAmelCase__   ))


if __name__ == "__main__":
							import doctest

							doctest.testmod()








'''simple docstring'''

SCREAMING_SNAKE_CASE							:				Union[str, Any]     	=			0  # The first color of the flag.
SCREAMING_SNAKE_CASE							:				List[str]     	=			1  # The second color of the flag.
SCREAMING_SNAKE_CASE							:				Optional[Any]     	=			2  # The third color of the flag.
SCREAMING_SNAKE_CASE							:				Tuple     	=			(red, white, blue)




def 							_UpperCamelCase				(   lowerCAmelCase__:					list   )      -> list:
							if not sequence:
														return []
							if len(lowerCAmelCase__   ) == 1:
														return list(lowerCAmelCase__   )
							SCREAMING_SNAKE_CASE_				=				0
							SCREAMING_SNAKE_CASE_				=				len(lowerCAmelCase__   ) - 1
							SCREAMING_SNAKE_CASE_				=				0
							while mid <= high:
														if sequence[mid] == colors[0]:
																					SCREAMING_SNAKE_CASE_				,    SCREAMING_SNAKE_CASE_				=				sequence[mid], sequence[low]
																					low += 1
																					mid += 1
														elif sequence[mid] == colors[1]:
																					mid += 1
														elif sequence[mid] == colors[2]:
																					SCREAMING_SNAKE_CASE_				,    SCREAMING_SNAKE_CASE_				=				sequence[high], sequence[mid]
																					high -= 1
														else:
																					SCREAMING_SNAKE_CASE_				=				F"""The elements inside the sequence must contains only {colors} values"""
																					raise ValueError(lowerCAmelCase__   )
							return sequence


if __name__ == "__main__":
							import doctest

							doctest.testmod()

							SCREAMING_SNAKE_CASE							:				str     	=			input("Enter numbers separated by commas:\n").strip()
							SCREAMING_SNAKE_CASE							:				List[Any]     	=			[int(item.strip()) for item in user_input.split(",")]
							print(f"{dutch_national_flag_sort(unsorted)}")





