

def     UpperCAmelCase_       (						_A				,		_A				,		_A				,		_A				,		_A				,		_A    ):





     '''simple docstring'''




     if index == r:
          for j in range(_A    ):
               print(data[j]				,		end=''' '''    )
          print(''' '''    )
          return
     #  When no more elements are there to put in data[]
     if i >= n:
          return
     # current is included, put next at next location
     SCREAMING_SNAKE_CASE__   =   arr[i]
     combination_util(_A				,		_A				,		_A				,		index + 1				,		_A				,		i + 1    )
     # current is excluded, replace it with
     # next (Note that i+1 is passed, but
     # index is not changed)
     combination_util(_A				,		_A				,		_A				,		_A				,		_A				,		i + 1    )
     # The main function that prints all combinations
     # of size r in arr[] of size n. This function
     # mainly uses combinationUtil()
def     UpperCAmelCase_       (						_A				,		_A				,		_A    ):





     '''simple docstring'''




     SCREAMING_SNAKE_CASE__   =   [0] * r
     # Print all combination using temporary array 'data[]'
     combination_util(_A				,		_A				,		_A				,		0				,		_A				,		0    )


if __name__ == "__main__":
       # Driver code to check the function above
       _SCREAMING_SNAKE_CASE					:  int             =      [10, 20, 30, 40, 50]
       print_combination(arr, len(arr), 3)
       # This code is contributed by Ambuj sahu





import doctest
from collections import deque

import numpy as np






class 	UpperCAmelCase__		:






  """simple docstring"""


  def __init__(							self						:		List[Any] )		->							None:
       SCREAMING_SNAKE_CASE__   =   [2, 1, 2, -1]
       SCREAMING_SNAKE_CASE__   =   [1, 2, 3, 4]







  def 				lowercase_		(							self						:		Optional[int] )		->							list[float]:
       SCREAMING_SNAKE_CASE__   =   len(self.first_signal )
       SCREAMING_SNAKE_CASE__   =   len(self.second_signal )

       SCREAMING_SNAKE_CASE__   =   max(__lowerCamelCase     ,       __lowerCamelCase )

       # create a zero matrix of max_length x max_length
       SCREAMING_SNAKE_CASE__   =   [[0] * max_length for i in range(__lowerCamelCase )]

       # 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(__lowerCamelCase ):
            SCREAMING_SNAKE_CASE__   =   deque(self.second_signal )
            rotated_signal.rotate(__lowerCamelCase )
            for j, item in enumerate(__lowerCamelCase ):
                 matrix[i][j] += item

        # multiply the matrix with the first signal
       SCREAMING_SNAKE_CASE__   =   np.matmul(np.transpose(__lowerCamelCase )     ,       np.transpose(self.first_signal ) )

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


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


