

"""simple docstring"""




import random







def       A_				(   _UpperCAmelCase    ,     _UpperCAmelCase    ,     _UpperCAmelCase   ):
						SCREAMING_SNAKE_CASE_:			List[str]  		=	a[left_index]
						SCREAMING_SNAKE_CASE_:			Dict  		=	left_index + 1
						for j in range(left_index + 1    ,     _UpperCAmelCase   ):
												if a[j] < pivot:
																		SCREAMING_SNAKE_CASE_:			Dict  		=	a[i], a[j]
																		i += 1
						SCREAMING_SNAKE_CASE_:			Optional[int]  		=	a[i - 1], a[left_index]
						return i - 1







def       A_				(   _UpperCAmelCase    ,     _UpperCAmelCase    ,     _UpperCAmelCase   ):
						if left < right:
												SCREAMING_SNAKE_CASE_:			List[str]  		=	random.randint(_UpperCAmelCase    ,     right - 1   )
												SCREAMING_SNAKE_CASE_:			str  		=	(
												    a[left],
												    a[pivot],
												)  # switches the pivot with the left most bound
												SCREAMING_SNAKE_CASE_:			Any  		=	partition(_UpperCAmelCase    ,     _UpperCAmelCase    ,     _UpperCAmelCase   )
												quick_sort_random(
												    _UpperCAmelCase    ,     _UpperCAmelCase    ,     _UpperCAmelCase   )  # recursive quicksort to the left of the pivot point
												quick_sort_random(
												    _UpperCAmelCase    ,     pivot_index + 1    ,     _UpperCAmelCase   )  # recursive quicksort to the right of the pivot point







def       A_				(   ):
						SCREAMING_SNAKE_CASE_:			Optional[Any]  		=	input("Enter numbers separated by a comma:\n"   ).strip()
						SCREAMING_SNAKE_CASE_:			Union[str, Any]  		=	[int(_UpperCAmelCase   ) for item in user_input.split(","   )]

						quick_sort_random(_UpperCAmelCase    ,     0    ,     len(_UpperCAmelCase   )   )

						print(_UpperCAmelCase   )


if __name__ == "__main__":
						main()









import doctest
from collections import deque

import numpy as np



class   __lowercase    :




			"""simple docstring"""







			def __init__(			self  :					Union[str, Any]):
									SCREAMING_SNAKE_CASE_:			int  		=	[2, 1, 2, -1]
									SCREAMING_SNAKE_CASE_:			Optional[Any]  		=	[1, 2, 3, 4]




			def 	_SCREAMING_SNAKE_CASE      (			self  :					Tuple):
									SCREAMING_SNAKE_CASE_:			Any  		=	len(self.first_signal)
									SCREAMING_SNAKE_CASE_:			Dict  		=	len(self.second_signal)

									SCREAMING_SNAKE_CASE_:			Union[str, Any]  		=	max(lowerCAmelCase__       ,						lowerCAmelCase__)

									# create a zero matrix of max_length x max_length
									SCREAMING_SNAKE_CASE_:			List[Any]  		=	[[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_:			Tuple  		=	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_:			Optional[Any]  		=	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()






