'''simple docstring'''




from __future__ import annotations

from dataclasses import dataclass






@dataclass
class 		__A       :
       snake_case       :float
       snake_case       :TreeNode | None				    =					None
       snake_case       :TreeNode | None				    =					None





def _lowercase	(      lowerCamelCase__						)					->       bool:





       """simple docstring"""


       def is_valid_tree(lowerCamelCase__						) -> bool:
              if node is None:
                     return True

              if not isinstance(lowerCamelCase__							,    lowerCamelCase__						):
                     return False

              try:
                     float(node.data						)
              except (TypeError, ValueError):
                     return False

              return is_valid_tree(node.left						) and is_valid_tree(node.right						)

       if not is_valid_tree(lowerCamelCase__						):
              raise ValueError(
                  "Each node should be type of TreeNode and data should be float."						)

       def is_binary_search_tree_recursive_check(
           lowerCamelCase__							,    lowerCamelCase__							,    lowerCamelCase__						) -> bool:

              if node is None:
                     return True

              return (
                  left_bound < node.data < right_bound
                  and is_binary_search_tree_recursive_check(node.left							,    lowerCamelCase__							,    node.data						)
                  and is_binary_search_tree_recursive_check(
                      node.right							,    node.data							,    lowerCamelCase__						)
              )

       return is_binary_search_tree_recursive_check(lowerCamelCase__							,    -float("inf"						)							,    float("inf"						)						)


if __name__ == "__main__":
   import doctest

   doctest.testmod()







'''simple docstring'''




from maths.is_square_free import is_square_free
from maths.prime_factors import prime_factors

def _lowercase	(      lowerCamelCase__						)					->       int:





       """simple docstring"""


       __UpperCAmelCase  :				Any       				=		prime_factors(lowerCamelCase__						)
       if is_square_free(lowerCamelCase__						):
              return -1 if len(lowerCamelCase__						) % 2 else 1
       return 0


if __name__ == "__main__":
   import doctest

   doctest.testmod()






