



from __future__ import annotations

import math
from collections.abc import Callable

def     __lowercase(	UpperCAmelCase__   ,   UpperCAmelCase__   ,   UpperCAmelCase__   ,   UpperCAmelCase__ = 100   ,   ):


      """simple docstring"""



      lowerCamelCase								=		x_start
      lowerCamelCase								=		fnc(_snake_case )
      lowerCamelCase								=		0.0

      for _ in range(_snake_case ):
            # Approximates curve as a sequence of linear lines and sums their length
            lowerCamelCase								=		(x_end - x_start) / steps + xa
            lowerCamelCase								=		fnc(_snake_case )
            length += math.hypot(xa - xa   ,   fxa - fxa )

            # Increment step
            lowerCamelCase								=		xa
            lowerCamelCase								=		fxa

      return length


if __name__ == "__main__":

     def     __lowercase(	UpperCAmelCase__ ):


           """simple docstring"""



           return math.sin(10 * x )

     print('f(x) = sin(10 * x)')
     print('The length of the curve from x = -10 to x = 10 is:')
     a_	     =		1_0
     while i <= 1_0_0_0_0_0:
          print(f"""With {i} steps: {line_length(f, -1_0, 1_0, i)}""")
          i *= 1_0




from __future__ import annotations

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

a_						:     Optional[int]	     =		(3, 9, -1_1, 0, 7, 5, 1, -1)
a_						:     str	     =		(4, 6, 2, 0, 8, 1_0, 3, -2)





@dataclass
class    lowerCamelCase__  :
     """simple docstring"""



     _A       =			42
     _A       =			42





class    lowerCamelCase__  :
     """simple docstring"""



     def __init__(self				,			__a    ):






           '''simple docstring'''



           lowerCamelCase								=		None
           for i in sorted(__a				,			reverse=__a    ):
                 lowerCamelCase								=		Node(__a				,			self.head    )







     def __iter__(self    ):






           '''simple docstring'''



           lowerCamelCase								=		self.head
           while node:
                 yield node.data
                 lowerCamelCase								=		node.next_node







     def __len__(self    ):






           '''simple docstring'''



           return sum(1 for _ in self    )







     def __str__(self    ):






           '''simple docstring'''



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



def     __lowercase(	UpperCAmelCase__   ,   UpperCAmelCase__ ):


      """simple docstring"""



      return SortedLinkedList(list(UpperCAmelCase__ ) + list(UpperCAmelCase__ ) )


if __name__ == "__main__":
     import doctest

     doctest.testmod()
     a_						:     Any	     =		SortedLinkedList
     print(merge_lists(SSL(test_data_odd), SSL(test_data_even)))