



'''simple docstring'''

def      __lowerCamelCase     (      lowerCAmelCase_						,			lowerCAmelCase_  )			->      str:
		if number < 0 or shift_amount < 0:
				raise ValueError('both inputs must be positive integers'  )

		_a     :      Optional[int]        =							str(bin(lowerCAmelCase_  )  )
		binary_number += "0" * shift_amount
		return binary_number



def      __lowerCamelCase     (      lowerCAmelCase_						,			lowerCAmelCase_  )			->      str:
		if number < 0 or shift_amount < 0:
				raise ValueError('both inputs must be positive integers'  )

		_a     :      Tuple        =							str(bin(lowerCAmelCase_  )  )[2:]
		if shift_amount >= len(lowerCAmelCase_  ):
				return "0b0"
		_a     :      Optional[int]        =							binary_number[: len(lowerCAmelCase_  ) - shift_amount]
		return "0b" + shifted_binary_number



def      __lowerCamelCase     (      lowerCAmelCase_						,			lowerCAmelCase_  )			->      str:
		if number >= 0:  # Get binary representation of positive number
				_a     :      Optional[Any]        =							'0' + str(bin(lowerCAmelCase_  )  ).strip('-'  )[2:]
		else:  # Get binary (2's complement) representation of negative number
				_a     :      List[str]        =							len(bin(lowerCAmelCase_  )[3:]  )  # Find 2's complement of number
				_a     :      Optional[int]        =							bin(abs(lowerCAmelCase_  ) - (1 << binary_number_length)  )[3:]
				_a     :      Dict        =							(
				    '1' + '0' * (binary_number_length - len(lowerCAmelCase_  )) + binary_number
				)

		if shift_amount >= len(lowerCAmelCase_  ):
				return "0b" + binary_number[0] * len(lowerCAmelCase_  )
		return (
		    "0b"
		    + binary_number[0] * shift_amount
		    + binary_number[: len(lowerCAmelCase_  ) - shift_amount]
		)


if __name__ == "__main__":
							import doctest

							doctest.testmod()








from __future__ import annotations

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

SCREAMING_SNAKE_CASE       :      Tuple												= (3, 9, -11, 0, 7, 5, 1, -1)
SCREAMING_SNAKE_CASE       :      Union[str, Any]												= (4, 6, 2, 0, 8, 10, 3, -2)






@dataclass
class _lowerCamelCase:
       lowercase_ :	int
       lowercase_ :	Node | None






class _lowerCamelCase:
       def __init__(					self,      lowerCamelCase)       ->   None:




           """simple docstring"""

           _lowercase       :							Node | None      		=		None
           for i in sorted(lowerCamelCase,      reverse=lowerCamelCase):
               _lowercase       :							Tuple      		=		Node(lowerCamelCase,      self.head)
       def __iter__(					self)       ->   Iterator[int]:




           """simple docstring"""

           _lowercase       :							Union[str, Any]      		=		self.head
           while node:
               yield node.data
               _lowercase       :							int      		=		node.next_node
       def __len__(					self)       ->   int:




           """simple docstring"""

           return sum(1 for _ in self)




       def __str__(					self)       ->   str:




           """simple docstring"""

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



def 				UpperCamelCase_(      lowerCamelCase_							, lowerCamelCase_ )    ->						SortedLinkedList:
    return SortedLinkedList(list(lowerCamelCase_ ) + list(lowerCamelCase_ ) )


if __name__ == "__main__":
 import doctest

 doctest.testmod()
 SCREAMING_SNAKE_CASE       :      int												= SortedLinkedList
 print(merge_lists(SSL(test_data_odd), SSL(test_data_even)))


