
from __future__ import annotations

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

lowerCamelCase      =(3, 9, -1_1, 0, 7, 5, 1, -1)
lowerCamelCase      =(4, 6, 2, 0, 8, 1_0, 3, -2)




@dataclass
class 				_lowerCamelCase :





     """simple docstring"""







     SCREAMING_SNAKE_CASE_		   =  42
     SCREAMING_SNAKE_CASE_		   =  42




class 				_lowerCamelCase :





     """simple docstring"""







     def __init__(							self						,						__SCREAMING_SNAKE_CASE  )  ->   None:




           """simple docstring"""







           UpperCamelCase__    :   Node | None					=				None
           for i in sorted(__SCREAMING_SNAKE_CASE						,						reverse=__SCREAMING_SNAKE_CASE  ):
                 UpperCamelCase__    :   str					=				Node(__SCREAMING_SNAKE_CASE						,						self.head  )






     def __iter__(							self  )  ->   Iterator[int]:




           """simple docstring"""







           UpperCamelCase__    :   List[str]					=				self.head
           while node:
                 yield node.data
                 UpperCamelCase__    :   Any					=				node.next_node






     def __len__(							self  )  ->   int:




           """simple docstring"""







           return sum(1 for _ in self  )






     def __str__(							self  )  ->   str:




           """simple docstring"""







           return " -> ".join([str(__SCREAMING_SNAKE_CASE  ) for node in self]  )


def 							SCREAMING_SNAKE_CASE_      (			UpperCamelCase__ ,		UpperCamelCase__		):
      return SortedLinkedList(list(UpperCamelCase__		) + list(UpperCamelCase__		)		)


if __name__ == "__main__":
    import doctest

    doctest.testmod()
    lowerCamelCase      =SortedLinkedList
    print(merge_lists(SSL(test_data_odd), SSL(test_data_even)))




import doctest
from collections import deque

import numpy as np




class 				_lowerCamelCase :





     """simple docstring"""







     def __init__(							self  )  ->   None:




           """simple docstring"""







           UpperCamelCase__    :   Tuple					=				[2, 1, 2, -1]
           UpperCamelCase__    :   Union[str, Any]					=				[1, 2, 3, 4]






     def    __SCREAMING_SNAKE_CASE			(							self  )  ->   list[float]:




           """simple docstring"""







           UpperCamelCase__    :   List[str]					=				len(self.first_signal  )
           UpperCamelCase__    :   Any					=				len(self.second_signal  )

           UpperCamelCase__    :   Dict					=				max(__SCREAMING_SNAKE_CASE						,						__SCREAMING_SNAKE_CASE  )

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

           # 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(__SCREAMING_SNAKE_CASE  ):
                 UpperCamelCase__    :   Optional[int]					=				deque(self.second_signal  )
                 rotated_signal.rotate(__SCREAMING_SNAKE_CASE  )
                 for j, item in enumerate(__SCREAMING_SNAKE_CASE  ):
                       matrix[i][j] += item

        # multiply the matrix with the first signal
           UpperCamelCase__    :   Optional[Any]					=				np.matmul(np.transpose(__SCREAMING_SNAKE_CASE  )						,						np.transpose(self.first_signal  )  )

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


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


