

'''simple docstring'''







from __future__ import annotations

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

__lowerCamelCase						    =      (3, 9, -11, 0, 7, 5, 1, -1)
__lowerCamelCase						    =      (4, 6, 2, 0, 8, 10, 3, -2)


@dataclass
class    A__ :
    lowercase		   =						42
    lowercase		   =						42


class    A__ :



    def __init__(   self						,			UpperCamelCase__    )  -> List[str]:





           '''simple docstring'''
           A_		   = None
           for i in sorted(snake_case_						,			reverse=snake_case_    ):
                  A_		   = Node(snake_case_						,			self.head    )



    def __iter__(   self    )  -> Optional[Any]:





           '''simple docstring'''
           A_		   = self.head
           while node:
                  yield node.data
                  A_		   = node.next_node



    def __len__(   self    )  -> List[Any]:





           '''simple docstring'''
           return sum(1 for _ in self    )







    def __str__(   self    )  -> str:





           '''simple docstring'''
           return " -> ".join([str(snake_case_    ) for node in self]    )

def  UpperCAmelCase__      ( UpperCAmelCase__,    UpperCAmelCase__			)     ->     Optional[int]:
       return SortedLinkedList(list(lowerCAmelCase__			) + list(lowerCAmelCase__			)			)


if __name__ == "__main__":
      import doctest

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



'''simple docstring'''







import math
import sys
def  UpperCAmelCase__      ( UpperCAmelCase__			)     ->     int:
       if number != int(UpperCAmelCase__			):
              raise ValueError("""the value of input must be a natural number"""			)
       if number < 0:
              raise ValueError("""the value of input must not be a negative number"""			)
       if number == 0:
              return 1
       A_		   = [-1] * (number + 1)
       A_		   = 0
       for i in range(1,    number + 1			):
              A_		   = sys.maxsize
              A_		   = int(math.sqrt(UpperCAmelCase__			)			)
              for j in range(1,    root + 1			):
                     A_		   = 1 + answers[i - (j**2)]
                     A_		   = min(UpperCAmelCase__,    UpperCAmelCase__			)
              A_		   = answer
       return answers[number]


if __name__ == "__main__":
      import doctest

      doctest.testmod()
