






'''simple docstring'''




from collections.abc import Sequence
from queue import Queue







class    A_	:
							"""simple docstring"""




							def __init__(		self			:int       ,							lowerCAmelCase__			:List[str]       ,							lowerCAmelCase__			:Optional[int]       ,							lowerCAmelCase__			:Dict       ,							lowerCAmelCase__			:List[str]=None       ,							lowerCAmelCase__			:Optional[Any]=None				)				->  Union[str, Any]:


										'''simple docstring'''




										snake_case_				:					Any   =       start
										snake_case_				:					Tuple   =       end
										snake_case_				:					Optional[int]   =       val
										snake_case_				:					Optional[int]   =       (start + end) // 2
										snake_case_				:					int   =       left
										snake_case_				:					Union[str, Any]   =       right






							def __repr__(		self			:Union[str, Any]				)				->  Dict:


										'''simple docstring'''




										return F'''SegmentTreeNode(start={self.start}, end={self.end}, val={self.val})'''







class    A_	:
							"""simple docstring"""




							def __init__(		self			:str       ,							lowerCAmelCase__			:Sequence       ,							lowerCAmelCase__			:List[str]				)				->  Tuple:


										'''simple docstring'''




										snake_case_				:					Tuple   =       collection
										snake_case_				:					Optional[int]   =       function
										if self.collection:
													snake_case_				:					Tuple   =       self._build_tree(0       ,							len(lowerCAmelCase__				) - 1				)

							def 							_A	(		self			:Optional[int]       ,							lowerCAmelCase__			:str       ,							lowerCAmelCase__			:Optional[int]				)				->  Optional[int]:


										'''simple docstring'''




										self._update_tree(self.root       ,							lowerCAmelCase__       ,							lowerCAmelCase__				)

							def 							_A	(		self			:int       ,							lowerCAmelCase__			:Tuple       ,							lowerCAmelCase__			:Any				)				->  Any:


										'''simple docstring'''




										return self._query_range(self.root       ,							lowerCAmelCase__       ,							lowerCAmelCase__				)

							def 							_A	(		self			:Optional[int]       ,							lowerCAmelCase__			:Dict       ,							lowerCAmelCase__			:Dict				)				->  List[str]:


										'''simple docstring'''




										if start == end:
													return SegmentTreeNode(lowerCAmelCase__       ,							lowerCAmelCase__       ,							self.collection[start]				)
										snake_case_				:					List[Any]   =       (start + end) // 2
										snake_case_				:					str   =       self._build_tree(lowerCAmelCase__       ,							lowerCAmelCase__				)
										snake_case_				:					Dict   =       self._build_tree(mid + 1       ,							lowerCAmelCase__				)
										return SegmentTreeNode(lowerCAmelCase__       ,							lowerCAmelCase__       ,							self.fn(left.val       ,							right.val				)       ,							lowerCAmelCase__       ,							lowerCAmelCase__				)

							def 							_A	(		self			:List[Any]       ,							lowerCAmelCase__			:Optional[Any]       ,							lowerCAmelCase__			:List[Any]       ,							lowerCAmelCase__			:List[Any]				)				->  Optional[Any]:


										'''simple docstring'''




										if node.start == i and node.end == i:
													snake_case_				:					str   =       val
													return
										if i <= node.mid:
													self._update_tree(node.left       ,							lowerCAmelCase__       ,							lowerCAmelCase__				)
										else:
													self._update_tree(node.right       ,							lowerCAmelCase__       ,							lowerCAmelCase__				)
										snake_case_				:					List[Any]   =       self.fn(node.left.val       ,							node.right.val				)

							def 							_A	(		self			:List[Any]       ,							lowerCAmelCase__			:List[Any]       ,							lowerCAmelCase__			:List[str]       ,							lowerCAmelCase__			:str				)				->  Optional[Any]:


										'''simple docstring'''




										if node.start == i and node.end == j:
													return node.val

										if i <= node.mid:
													if j <= node.mid:
																# range in left child tree
																return self._query_range(node.left       ,							lowerCAmelCase__       ,							lowerCAmelCase__				)
													else:
																# range in left child tree and right child tree
																return self.fn(
																    self._query_range(node.left       ,							lowerCAmelCase__       ,							node.mid				)       ,							self._query_range(node.right       ,							node.mid + 1       ,							lowerCAmelCase__				)       ,							)
										else:
													# range in right child tree
													return self._query_range(node.right       ,							lowerCAmelCase__       ,							lowerCAmelCase__				)






							def 							_A	(		self			:Optional[int]				)				->  Optional[int]:


										'''simple docstring'''




										if self.root is not None:
													snake_case_				:					Optional[Any]   =       Queue()
													queue.put(self.root				)
													while not queue.empty():
																snake_case_				:					Tuple   =       queue.get()
																yield node

																if node.left is not None:
																			queue.put(node.left				)

																if node.right is not None:
																			queue.put(node.right				)


if __name__ == "__main__":
		import operator

		for fn in [operator.add, max, min]:
				print('''*''' * 50)
				__lowerCamelCase   :					int   							=					SegmentTree([2, 1, 5, 3, 4], fn)
				for node in arr.traverse():
						print(node)
				print()

				arr.update(1, 5)
				for node in arr.traverse():
						print(node)
				print()

				print(arr.query_range(3, 4))  # 7
				print(arr.query_range(2, 2))  # 5
				print(arr.query_range(1, 3))  # 13
				print()












'''simple docstring'''




from __future__ import annotations

import math

import numpy as np
from numpy.linalg import norm

def 	__UpperCAmelCase       ( __magic_name__     ,__magic_name__						)->    float:



			"""simple docstring"""



			return math.sqrt(sum(pow(a - b     ,2						) for a, b in zip(__magic_name__     ,__magic_name__						)						)						)

def 	__UpperCAmelCase       ( __magic_name__     ,__magic_name__						)->    list[list[list[float] | float]]:



			"""simple docstring"""



			if dataset.ndim != value_array.ndim:
						snake_case_				:					int   =       (
						    "Wrong input data's dimensions... "
						    F'''dataset : {dataset.ndim}, value_array : {value_array.ndim}'''
						)
						raise ValueError(__magic_name__						)

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

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

			snake_case_				:					Optional[int]   =       []

			for value in value_array:
						snake_case_				:					List[str]   =       euclidean(__magic_name__     ,dataset[0]						)
						snake_case_				:					int   =       dataset[0].tolist()

						for dataset_value in dataset[1:]:
									snake_case_				:					Optional[Any]   =       euclidean(__magic_name__     ,__magic_name__						)

									if dist > temp_dist:
												snake_case_				:					Tuple   =       temp_dist
												snake_case_				:					Optional[int]   =       dataset_value.tolist()

						answer.append([vector, dist]						)

			return answer

def 	__UpperCAmelCase       ( __magic_name__     ,__magic_name__						)->    float:



			"""simple docstring"""



			return np.dot(__magic_name__     ,__magic_name__						) / (norm(__magic_name__						) * norm(__magic_name__						))


if __name__ == "__main__":
		import doctest

		doctest.testmod()




