



from __future__ import annotations

from dataclasses import dataclass






@dataclass
class 						__a :
	SCREAMING_SNAKE_CASE       =       42
	SCREAMING_SNAKE_CASE       =       None
	SCREAMING_SNAKE_CASE       =       None






def 					__lowerCAmelCase		(  __lowerCamelCase	:    TreeNode | None	)  ->						bool:

					# Validation
					def is_valid_tree(__lowerCamelCase	:    TreeNode | None	) -> 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	:    TreeNode | None				,   __lowerCamelCase	:    float				,   __lowerCamelCase	:    float	) -> 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()









def 					__lowerCAmelCase		(  __lowerCamelCase	:    list				,   __lowerCamelCase	:    int				,   __lowerCamelCase	:    int = 0				,   __lowerCamelCase	:    int = 0	)  ->						int:
					__lowerCAmelCase	   =right or len(__lowerCamelCase	) - 1
					if left > right:
										return -1
					elif list_data[left] == key:
										return left
					elif list_data[right] == key:
										return right
					else:
										return search(__lowerCamelCase				,   __lowerCamelCase				,   left + 1				,   right - 1	)


if __name__ == "__main__":
				import doctest

				doctest.testmod()




