





'''simple docstring'''




from __future__ import annotations

import math
import random
from collections.abc import Collection
from typing import overload






class 				__snake_case     :





	def __init__(		self      ,       UpperCamelCase_ = None		)      ->		Optional[int]:
		if components is None:
			snake_case__	       =   []
		snake_case__	       =   list(a_		)





	def __len__(		self		)      ->		Any:
		return len(self.__components		)





	def __str__(		self		)      ->		int:
		return "(" + ",".join(map(a_      ,       self.__components		)		) + ")"





	def __add__(		self      ,       UpperCamelCase_		)      ->		List[Any]:
		snake_case__	       =   len(self		)
		if size == len(a_		):
			snake_case__	       =   [self.__components[i] + other.component(a_		) for i in range(a_		)]
			return Vector(a_		)
		else:
			raise Exception('must have the same size'		)





	def __sub__(		self      ,       UpperCamelCase_		)      ->		Optional[int]:
		snake_case__	       =   len(self		)
		if size == len(a_		):
			snake_case__	       =   [self.__components[i] - other.component(a_		) for i in range(a_		)]
			return Vector(a_		)
		else:  # error case
			raise Exception('must have the same size'		)





	@overload
	def __mul__(		self      ,       UpperCamelCase_		)      ->		Tuple:
		...





	@overload
	def __mul__(		self      ,       UpperCamelCase_		)      ->		Optional[Any]:
		...





	def __mul__(		self      ,       UpperCamelCase_		)      ->		str:
		if isinstance(a_      ,       (float, int)		):
			snake_case__	       =   [c * other for c in self.__components]
			return Vector(a_		)
		elif isinstance(a_      ,       a_		) and len(self		) == len(a_		):
			snake_case__	       =   len(self		)
			snake_case__	       =   [self.__components[i] * other.component(a_		) for i in range(a_		)]
			return sum(a_		)
		else:  # error case
			raise Exception('invalid operand!'		)





	def   _snake_case   (		self		)      ->		List[str]:
		return Vector(self.__components		)





	def   _snake_case   (		self      ,       UpperCamelCase_		)      ->		Union[str, Any]:
		if isinstance(a_      ,       a_		) and -len(self.__components		) <= i < len(self.__components		):
			return self.__components[i]
		else:
			raise Exception('index out of range'		)





	def   _snake_case   (		self      ,       UpperCamelCase_      ,       UpperCamelCase_		)      ->		Any:
		assert -len(self.__components		) <= pos < len(self.__components		)
		snake_case__	       =   value





	def   _snake_case   (		self		)      ->		Dict:
		if len(self.__components		) == 0:
			raise Exception('Vector is empty'		)
		snake_case__	       =   [c**2 for c in self.__components]
		return math.sqrt(sum(a_		)		)





	def   _snake_case   (		self      ,       UpperCamelCase_      ,       UpperCamelCase_ = False		)      ->		Optional[Any]:
		snake_case__	       =   self * other
		snake_case__	       =   self.euclidean_length() * other.euclidean_length()
		if deg:
			return math.degrees(math.acos(num / den		)		)
		else:
			return math.acos(num / den		)





def 						__lowerCamelCase			(	UpperCAmelCase_							)   ->Vector:
	assert isinstance(snake_case__					,				snake_case__							)
	return Vector([0] * dimension							)




def 						__lowerCamelCase			(	UpperCAmelCase_					,				UpperCAmelCase_							)   ->Vector:
	assert isinstance(snake_case__					,				snake_case__							) and (isinstance(snake_case__					,				snake_case__							))
	snake_case__	       =   [0] * dimension
	snake_case__	       =   1
	return Vector(snake_case__							)




def 						__lowerCamelCase			(	UpperCAmelCase_					,				UpperCAmelCase_					,				UpperCAmelCase_							)   ->Vector:
	assert (
	    isinstance(snake_case__					,				snake_case__							)
	    and isinstance(snake_case__					,				snake_case__							)
	    and (isinstance(snake_case__					,				(int, float)							))
	)
	return x * scalar + y




def 						__lowerCamelCase			(	UpperCAmelCase_					,				UpperCAmelCase_					,				UpperCAmelCase_							)   ->Vector:
	random.seed(snake_case__							)
	snake_case__	       =   [random.randint(snake_case__					,				snake_case__							) for _ in range(snake_case__							)]
	return Vector(snake_case__							)






class 				__snake_case     :





	def __init__(		self      ,       UpperCamelCase_      ,       UpperCamelCase_      ,       UpperCamelCase_		)      ->		int:
		snake_case__	       =   matrix
		snake_case__	       =   w
		snake_case__	       =   h





	def __str__(		self		)      ->		List[Any]:
		snake_case__	       =   ''
		for i in range(self.__height		):
			ans += "|"
			for j in range(self.__width		):
				if j < self.__width - 1:
					ans += str(self.__matrix[i][j]		) + ","
				else:
					ans += str(self.__matrix[i][j]		) + "|\n"
		return ans





	def __add__(		self      ,       UpperCamelCase_		)      ->		int:
		if self.__width == other.width() and self.__height == other.height():
			snake_case__	       =   []
			for i in range(self.__height		):
				snake_case__	       =   [
				    self.__matrix[i][j] + other.component(a_      ,       a_		)
				    for j in range(self.__width		)
				]
				matrix.append(a_		)
			return Matrix(a_      ,       self.__width      ,       self.__height		)
		else:
			raise Exception('matrix must have the same dimension!'		)





	def __sub__(		self      ,       UpperCamelCase_		)      ->		Tuple:
		if self.__width == other.width() and self.__height == other.height():
			snake_case__	       =   []
			for i in range(self.__height		):
				snake_case__	       =   [
				    self.__matrix[i][j] - other.component(a_      ,       a_		)
				    for j in range(self.__width		)
				]
				matrix.append(a_		)
			return Matrix(a_      ,       self.__width      ,       self.__height		)
		else:
			raise Exception('matrices must have the same dimension!'		)





	@overload
	def __mul__(		self      ,       UpperCamelCase_		)      ->		Tuple:
		...





	@overload
	def __mul__(		self      ,       UpperCamelCase_		)      ->		Tuple:
		...





	def __mul__(		self      ,       UpperCamelCase_		)      ->		List[Any]:
		if isinstance(a_      ,       a_		):  # matrix-vector
			if len(a_		) == self.__width:
				snake_case__	       =   zero_vector(self.__height		)
				for i in range(self.__height		):
					snake_case__	       =   [
					    self.__matrix[i][j] * other.component(a_		)
					    for j in range(self.__width		)
					]
					ans.change_component(a_      ,       sum(a_		)		)
				return ans
			else:
				raise Exception(
				    'vector must have the same size as the '
				    'number of columns of the matrix!'		)
		elif isinstance(a_      ,       (int, float)		):  # matrix-scalar
			snake_case__	       =   [
			    [self.__matrix[i][j] * other for j in range(self.__width		)]
			    for i in range(self.__height		)
			]
			return Matrix(a_      ,       self.__width      ,       self.__height		)
		return None





	def   _snake_case   (		self		)      ->		str:
		return self.__height





	def   _snake_case   (		self		)      ->		List[Any]:
		return self.__width





	def   _snake_case   (		self      ,       UpperCamelCase_      ,       UpperCamelCase_		)      ->		int:
		if 0 <= x < self.__height and 0 <= y < self.__width:
			return self.__matrix[x][y]
		else:
			raise Exception('change_component: indices out of bounds'		)





	def   _snake_case   (		self      ,       UpperCamelCase_      ,       UpperCamelCase_      ,       UpperCamelCase_		)      ->		str:
		if 0 <= x < self.__height and 0 <= y < self.__width:
			snake_case__	       =   value
		else:
			raise Exception('change_component: indices out of bounds'		)





	def   _snake_case   (		self      ,       UpperCamelCase_      ,       UpperCamelCase_		)      ->		Tuple:
		if self.__height != self.__width:
			raise Exception('Matrix is not square'		)
		snake_case__	       =   self.__matrix[:x] + self.__matrix[x + 1 :]
		for i in range(len(a_		)		):
			snake_case__	       =   minor[i][:y] + minor[i][y + 1 :]
		return Matrix(a_      ,       self.__width - 1      ,       self.__height - 1		).determinant()





	def   _snake_case   (		self      ,       UpperCamelCase_      ,       UpperCamelCase_		)      ->		Tuple:
		if self.__height != self.__width:
			raise Exception('Matrix is not square'		)
		if 0 <= x < self.__height and 0 <= y < self.__width:
			return (-1) ** (x + y) * self.minor(a_      ,       a_		)
		else:
			raise Exception('Indices out of bounds'		)





	def   _snake_case   (		self		)      ->		Optional[int]:
		if self.__height != self.__width:
			raise Exception('Matrix is not square'		)
		if self.__height < 1:
			raise Exception('Matrix has no element'		)
		elif self.__height == 1:
			return self.__matrix[0][0]
		elif self.__height == 2:
			return (
			    self.__matrix[0][0] * self.__matrix[1][1]
			    - self.__matrix[0][1] * self.__matrix[1][0]
			)
		else:
			snake_case__	       =   [
			    self.__matrix[0][y] * self.cofactor(0      ,       a_		) for y in range(self.__width		)
			]
			return sum(a_		)





def 						__lowerCamelCase			(	UpperCAmelCase_							)   ->Matrix:
	snake_case__	       =   [[0] * n for _ in range(snake_case__							)]
	return Matrix(snake_case__					,				snake_case__					,				snake_case__							)







def 						__lowerCamelCase			(	UpperCAmelCase_					,				UpperCAmelCase_					,				UpperCAmelCase_					,				UpperCAmelCase_							)   ->Matrix:
	random.seed(snake_case__							)
	snake_case__	       =   [
	    [random.randint(snake_case__					,				snake_case__							) for _ in range(snake_case__							)] for _ in range(snake_case__							)
	]
	return Matrix(snake_case__					,				snake_case__					,				snake_case__							)








from collections import Counter

import numpy as np
from sklearn import datasets
from sklearn.model_selection import train_test_split

_lowerCAmelCase	:   int    =   datasets.load_iris()

_lowerCAmelCase	:   Tuple    =   np.array(data["data"])
_lowerCAmelCase	:   Any    =   np.array(data["target"])
_lowerCAmelCase	:   Union[str, Any]    =   data["target_names"]

_lowerCAmelCase,		_lowerCAmelCase,		_lowerCAmelCase,		_lowerCAmelCase	:   Optional[Any]    =   train_test_split(X, y)







def     UpperCAmelCase_		(					snake_case__    ,			snake_case__					)	->     Tuple:



				"""simple docstring"""





				return np.linalg.norm(np.array(snake_case__					) - np.array(snake_case__					)					)







def     UpperCAmelCase_		(					snake_case__    ,			snake_case__    ,			snake_case__    ,			snake_case__    ,			snake_case__=5					)	->     Dict:



				"""simple docstring"""





				lowerCAmelCase__		  =  zip(snake_case__    ,			snake_case__					)
				# List of distances of all points from the point to be classified
				lowerCAmelCase__		  =  []
				for data_point in data:
								lowerCAmelCase__		  =  euclidean_distance(data_point[0]    ,			snake_case__					)
								distances.append((distance, data_point[1])					)
				# Choosing 'k' points with the least distances.
				lowerCAmelCase__		  =  [i[1] for i in sorted(snake_case__					)[:k]]
				# Most commonly occurring class among them
				# is the class into which the point is classified
				lowerCAmelCase__		  =  Counter(snake_case__					).most_common(1					)[0][0]
				return classes[result]


if __name__ == "__main__":
	print(classifier(X_train, y_train, classes, [4.4, 3.1, 1.3, 1.4]))
