


from __future__ import annotations

import math

import numpy as np
from numpy.linalg import norm
def        UpperCamelCase_(				_A   :np.ndarray				,     _A   :np.ndarray  )->		float:
			return math.sqrt(sum(pow(a - b				,     2  ) for a, b in zip(_A				,     _A  )  )  )
def        UpperCamelCase_(				_A   :np.ndarray				,     _A   :np.ndarray  )->		list[list[list[float] | float]]:

			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        UpperCamelCase_(				_A   :np.ndarray				,     _A   :np.ndarray  )->		float:
			return np.dot(_A				,     _A  ) / (norm(_A  ) * norm(_A  ))


if __name__ == "__main__":
						import doctest

						doctest.testmod()






from __future__ import annotations
def        UpperCamelCase_(				_A   :list[int]				,     _A   :int  )->		list[int]:
			UpperCamelCase__					=       0
			UpperCamelCase__					=       len(_A  ) - 1

			while i < j:
						if nums[i] + nums[j] == target:
									return [i, j]
						elif nums[i] + nums[j] < target:
									UpperCamelCase__					=       i + 1
						else:
									UpperCamelCase__					=       j - 1

			return []


if __name__ == "__main__":
						import doctest

						doctest.testmod()
						print(f'''{two_pointer([2, 7, 1_1, 1_5], 9) = }''')


