



"""simple docstring"""


from __future__ import annotations

from dataclasses import dataclass
@dataclass
class 			_a :
			"""simple docstring"""
			UpperCamelCase__			      =	42
			UpperCamelCase__			      =	None
			UpperCamelCase__			      =	None







def  lowercase	(      _SCREAMING_SNAKE_CASE   :						TreeNode | None				):






				'''simple docstring'''



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

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

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

								if node is None:
												return True

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

				return is_binary_search_tree_recursive_check(_SCREAMING_SNAKE_CASE					,     -float('''inf'''				)					,     float('''inf'''				)				)


if __name__ == "__main__":
					import doctest

					doctest.testmod()








"""simple docstring"""


import functools







def  lowercase	(      _SCREAMING_SNAKE_CASE   :						list[int]					,     _SCREAMING_SNAKE_CASE   :						list[int]				):






				'''simple docstring'''



				if not isinstance(_SCREAMING_SNAKE_CASE					,     _SCREAMING_SNAKE_CASE				) or not all(isinstance(_SCREAMING_SNAKE_CASE					,     _SCREAMING_SNAKE_CASE				) for day in days				):
								raise ValueError('''The parameter days should be a list of integers'''				)

				if len(_SCREAMING_SNAKE_CASE				) != 3 or not all(isinstance(_SCREAMING_SNAKE_CASE					,     _SCREAMING_SNAKE_CASE				) for cost in costs				):
								raise ValueError('''The parameter costs should be a list of three integers'''				)

				if len(_SCREAMING_SNAKE_CASE				) == 0:
								return 0

				if min(_SCREAMING_SNAKE_CASE				) <= 0:
								raise ValueError('''All days elements should be greater than 0'''				)

				if max(_SCREAMING_SNAKE_CASE				) >= 366:
								raise ValueError('''All days elements should be less than 366'''				)

				_UpperCAmelCase					=    set(_SCREAMING_SNAKE_CASE				)

				@functools.cache
				def dynamic_programming(_SCREAMING_SNAKE_CASE   :						int				) -> int:
								if index > 365:
												return 0

								if index not in days_set:
												return dynamic_programming(index + 1				)

								return min(
								    costs[0] + dynamic_programming(index + 1				)					,     costs[1] + dynamic_programming(index + 7				)					,     costs[2] + dynamic_programming(index + 30				)					,     )

				return dynamic_programming(1				)


if __name__ == "__main__":
					import doctest

					doctest.testmod()



