

from __future__ import annotations

from collections.abc import Iterable, Iterator
from dataclasses import dataclass

_SCREAMING_SNAKE_CASE  :						Optional[int]         =    (3, 9, -11, 0, 7, 5, 1, -1)
_SCREAMING_SNAKE_CASE  :						Tuple         =    (4, 6, 2, 0, 8, 10, 3, -2)






@dataclass
class  UpperCAmelCase__	:






		"""simple docstring"""


		a     =      42
		a     =      42






class  UpperCAmelCase__	:






		"""simple docstring"""


		def __init__(							self		:	List[Any]			,     __lowerCamelCase		:	Iterable[int]      )	->							None:
							SCREAMING_SNAKE_CASE__					=					None
							for i in sorted(__lowerCamelCase			,     reverse=__lowerCamelCase      ):
												SCREAMING_SNAKE_CASE__					=					Node(__lowerCamelCase			,     self.head      )






		def __iter__(							self		:	List[Any]      )	->							Iterator[int]:
							SCREAMING_SNAKE_CASE__					=					self.head
							while node:
												yield node.data
												SCREAMING_SNAKE_CASE__					=					node.next_node






		def __len__(							self		:	int      )	->							int:
							return sum(1 for _ in self      )







		def __str__(							self		:	Any      )	->							str:
							return " -> ".join([str(__lowerCamelCase      ) for node in self]      )



def        UpperCAmelCase_     (		_A   ,	_A       ):





					'''simple docstring'''




					return SortedLinkedList(list(_A       ) + list(_A       )       )


if __name__ == "__main__":
							import doctest

							doctest.testmod()
							_SCREAMING_SNAKE_CASE  :						str         =    SortedLinkedList
							print(merge_lists(SSL(test_data_odd), SSL(test_data_even)))





import doctest
from collections import deque

import numpy as np






class  UpperCAmelCase__	:






  """simple docstring"""


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







  def    lowercase_	(							self		:	List[str]      )	->							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()


