






"""simple docstring"""






from __future__ import annotations

import math

import numpy as np
from numpy.linalg import norm



def 					_A			(__a    ,				__a							) ->       float:
    """simple docstring"""






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



def 					_A			(__a    ,				__a							) ->       list[list[list[float] | float]]:
    """simple docstring"""






    if dataset.ndim != value_array.ndim:
        SCREAMING_SNAKE_CASE_      :  Tuple    						=		(
            '''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]:
            SCREAMING_SNAKE_CASE_      :  Any    						=		(
                '''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:
        SCREAMING_SNAKE_CASE_      :  List[str]    						=		(
            '''Input data have different datatype... '''
            f'dataset : {dataset.dtype}, value_array : {value_array.dtype}'
        )
        raise TypeError(__a							)

    SCREAMING_SNAKE_CASE_      :  Any    						=		[]

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

        for dataset_value in dataset[1:]:
            SCREAMING_SNAKE_CASE_      :  Optional[int]    						=		euclidean(__a    ,				__a							)

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

        answer.append([vector, dist]							)

    return answer



def 					_A			(__a    ,				__a							) ->       float:
    """simple docstring"""






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


if __name__ == "__main__":
  import doctest

  doctest.testmod()









'''simple docstring'''

from __future__ import annotations

import math





def lowerCamelCase						(     __lowerCamelCase :    int    )						->list[int]:

    if num <= 0:
        _SCREAMING_SNAKE_CASE									=			F'{num}: Invalid input, please enter a positive integer.'
        raise ValueError(__lowerCamelCase    )

    _SCREAMING_SNAKE_CASE									=			[True] * (num + 1)
    _SCREAMING_SNAKE_CASE									=			[]
    _SCREAMING_SNAKE_CASE									=			2
    _SCREAMING_SNAKE_CASE									=			int(math.sqrt(__lowerCamelCase    )    )

    while start <= end:
        # If start is a prime
        if sieve[start] is True:
            prime.append(__lowerCamelCase    )

            # Set multiples of start be False
            for i in range(start * start					,       num + 1					,       __lowerCamelCase    ):
                if sieve[i] is True:
                    _SCREAMING_SNAKE_CASE									=			False

        start += 1

    for j in range(end + 1					,       num + 1    ):
        if sieve[j] is True:
            prime.append(__lowerCamelCase    )

    return prime


if __name__ == "__main__":
      print(prime_sieve(int(input("""Enter a positive integer: """).strip())))



