





from __future__ import annotations

import math

import numpy as np
from numpy.linalg import norm







def    A				(							UpperCAmelCase  ,  UpperCAmelCase				):
					return math.sqrt(sum(pow(a - b  ,  2				) for a, b in zip(UpperCAmelCase  ,  UpperCAmelCase				)				)				)







def    A				(							UpperCAmelCase  ,  UpperCAmelCase				):

					if dataset.ndim != value_array.ndim:
										_snake_case       :					List[str]				       =   (
										    "Wrong input data's dimensions... "
										    F"""dataset : {dataset.ndim}, value_array : {value_array.ndim}"""
										)
										raise ValueError(UpperCAmelCase				)

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

					if dataset.dtype != value_array.dtype:
										_snake_case       :					Optional[int]				       =   (
										    "Input data have different datatype... "
										    F"""dataset : {dataset.dtype}, value_array : {value_array.dtype}"""
										)
										raise TypeError(UpperCAmelCase				)

					_snake_case       :					Optional[Any]				       =   []

					for value in value_array:
										_snake_case       :					Tuple				       =   euclidean(UpperCAmelCase  ,  dataset[0]				)
										_snake_case       :					Optional[int]				       =   dataset[0].tolist()

										for dataset_value in dataset[1:]:
															_snake_case       :					str				       =   euclidean(UpperCAmelCase  ,  UpperCAmelCase				)

															if dist > temp_dist:
																				_snake_case       :					int				       =   temp_dist
																				_snake_case       :					Optional[Any]				       =   dataset_value.tolist()

										answer.append([vector, dist]				)

					return answer







def    A				(							UpperCAmelCase  ,  UpperCAmelCase				):
					return np.dot(UpperCAmelCase  ,  UpperCAmelCase				) / (norm(UpperCAmelCase				) * norm(UpperCAmelCase				))


if __name__ == "__main__":
							import doctest

							doctest.testmod()












def    A				(							UpperCAmelCase				):
					return str(UpperCAmelCase				) == str(UpperCAmelCase				)[::-1]







def    A				(							UpperCAmelCase				):
					return int(UpperCAmelCase				) + int(str(UpperCAmelCase				)[::-1]				)







def    A				(							UpperCAmelCase = 10_000				):
					_snake_case       :					Optional[int]				       =   []
					for num in range(1  ,  UpperCAmelCase				):
										_snake_case       :					Optional[Any]				       =   0
										_snake_case       :					Optional[int]				       =   num
										while iterations < 50:
															_snake_case       :					Optional[Any]				       =   sum_reverse(UpperCAmelCase				)
															iterations += 1
															if is_palindrome(UpperCAmelCase				):
																				break
										else:
															lychrel_nums.append(UpperCAmelCase				)
					return len(UpperCAmelCase				)


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