


"""simple docstring"""







import doctest
from collections import deque

import numpy as np






class 						_A  :







    """simple docstring"""




    def __init__(					self				:    Any):
      a						:		Dict      							=			[2, 1, 2, -1]
      a						:		Dict      							=			[1, 2, 3, 4]






    def 	__snake_case							(					self				:    Optional[int]):
      a						:		Dict      							=			len(self.first_signal)
      a						:		int      							=			len(self.second_signal)

      a						:		Tuple      							=			max(__UpperCAmelCase				, __UpperCAmelCase)

      # create a zero matrix of max_length x max_length
      a						:		Any      							=			[[0] * max_length for i in range(__UpperCAmelCase)]

      # fills the smaller signal with zeros to make both signals of same length
      if length_first_signal < length_second_signal:
        self.first_signal += [0] * (max_length - length_first_signal)
      elif length_first_signal > length_second_signal:
        self.second_signal += [0] * (max_length - length_second_signal)
      for i in range(__UpperCAmelCase):
        a						:		str      							=			deque(self.second_signal)
        rotated_signal.rotate(__UpperCAmelCase)
        for j, item in enumerate(__UpperCAmelCase):
          matrix[i][j] += item

        # multiply the matrix with the first signal
      a						:		Any      							=			np.matmul(np.transpose(__UpperCAmelCase)				, np.transpose(self.first_signal))

      # rounding-off to two decimal places
      return [round(__UpperCAmelCase				, 2) for i in final_signal]


if __name__ == "__main__":
 doctest.testmod()










"""simple docstring"""







from bisect import bisect
from itertools import accumulate


def      lowercase			(				A_  ,   A_  ,   A_  ,   A_       )->      Union[str, Any]:
  '''simple docstring'''







  a						:		Any      							=			sorted(zip(A_  ,   A_       )  ,   key=lambda A_       : x[0] / x[1]  ,   reverse=A_       )
  a							,		a						:		int      							=			[i[0] for i in r], [i[1] for i in r]
  a						:		Union[str, Any]      							=			list(accumulate(A_       )       )
  a						:		Optional[Any]      							=			bisect(A_  ,   A_       )
  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()






