'''simple docstring'''




from __future__ import annotations

import typing
from collections.abc import Iterable

import numpy as np

__UpperCAmelCase												=typing.Union[Iterable[float], Iterable[int], np.ndarray]  # noqa: UP007
__UpperCAmelCase												=typing.Union[np.floataa, int, float]  # noqa: UP007






def __lowerCAmelCase			(							UpperCamelCase__    ,  UpperCamelCase__    )     ->   VectorOut:
    return np.sqrt(np.sum((np.asarray(UpperCamelCase__    ) - np.asarray(UpperCamelCase__    )) ** 2    )    )






def __lowerCAmelCase			(							UpperCamelCase__    ,  UpperCamelCase__    )     ->   VectorOut:
    return sum((va - va) ** 2 for va, va in zip(UpperCamelCase__    ,  UpperCamelCase__    )    ) ** (1 / 2)


if __name__ == "__main__":






  def __lowerCAmelCase			(							)     ->   None:
      from timeit import timeit

      print('''Without Numpy'''    )
      print(
          timeit(
              '''euclidean_distance_no_np([1, 2, 3], [4, 5, 6])'''    ,  number=1_00_00    ,  globals=globals()    ,  )    )
      print('''With Numpy'''    )
      print(
          timeit(
              '''euclidean_distance([1, 2, 3], [4, 5, 6])'''    ,  number=1_00_00    ,  globals=globals()    ,  )    )



  benchmark()

'''simple docstring'''




from bisect import bisect
from itertools import accumulate






def __lowerCAmelCase			(							UpperCamelCase__    ,  UpperCamelCase__    ,  UpperCamelCase__    ,  UpperCamelCase__    )     ->   str:
    __lowerCamelCase          =  sorted(zip(UpperCamelCase__    ,  UpperCamelCase__    )    ,  key=lambda UpperCamelCase__    : x[0] / x[1]    ,  reverse=UpperCamelCase__    )
    __lowerCamelCase     ,  __lowerCamelCase          =  [i[0] for i in r], [i[1] for i in r]
    __lowerCamelCase          =  list(accumulate(UpperCamelCase__    )    )
    __lowerCamelCase          =  bisect(UpperCamelCase__    ,  UpperCamelCase__    )
    return (
        0
        if k == 0
        else sum(vl[:k]    ) + (w - acc[k - 1]) * (vl[k]) / (wt[k])
        if k != n
        else sum(vl[:k]    )
    )


if __name__ == "__main__":
  import doctest

  doctest.testmod()
