






"""simple docstring"""



from __future__ import annotations

from dataclasses import dataclass



@dataclass
class 					a						:



    """simple docstring"""



    UpperCAmelCase						 =					4_2
    UpperCAmelCase						 =					None
    UpperCAmelCase						 =					None





def  _snake_case     (    UpperCAmelCase_  :					TreeNode | None			):

     # Validation
     def is_valid_tree(UpperCAmelCase_  :					TreeNode | None			) -> bool:
          if node is None:
               return True

          if not isinstance(UpperCAmelCase_					,   UpperCAmelCase_			):
               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(UpperCAmelCase_			):
          raise ValueError(
              """Each node should be type of TreeNode and data should be float."""			)

     def is_binary_search_tree_recursive_check(
         UpperCAmelCase_  :					TreeNode | None					,   UpperCAmelCase_  :					float					,   UpperCAmelCase_  :					float			) -> bool:

          if node is None:
               return True

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

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


if __name__ == "__main__":
 import doctest

 doctest.testmod()









"""simple docstring"""



from collections.abc import Callable





def  _snake_case     (    UpperCAmelCase_  :					Callable[[float], float]					,   UpperCAmelCase_  :					float					,   UpperCAmelCase_  :					float			):
     A__										=  a
     A__										=  b
     if function(UpperCAmelCase_			) == 0:  # one of the a or b is a root for the function
          return a
     elif function(UpperCAmelCase_			) == 0:
          return b
     elif (
         function(UpperCAmelCase_			) * function(UpperCAmelCase_			) > 0
     ):  # if none of these are root and they are both positive or negative,
          # then this algorithm can't find the root
          raise ValueError("""could not find root in given interval."""			)
     else:
          A__										=  start + (end - start) / 2.0
          while abs(start - mid			) > 10**-7:  # until precisely equals to 10^-7
               if function(UpperCAmelCase_			) == 0:
                    return mid
               elif function(UpperCAmelCase_			) * function(UpperCAmelCase_			) < 0:
                    A__										=  mid
               else:
                    A__										=  mid
               A__										=  start + (end - start) / 2.0
          return mid





def  _snake_case     (    UpperCAmelCase_  :					float			):
     return x**3 - 2 * x - 5


if __name__ == "__main__":
 print(bisection(f, 1, 1_0_0_0))

 import doctest

 doctest.testmod()






