


"""simple docstring"""







from __future__ import annotations
def   __UpperCamelCase   (					SCREAMING_SNAKE_CASE )  ->     list[int]:







							"""simple docstring"""


							__snake_case     			=       [True] * limit
							__snake_case     			=       False
							__snake_case     			=       False
							__snake_case     			=       True

							for i in range(3							,    int(limit**0.5 + 1 )							,    2 ):
														__snake_case     			=       i * 2
														while index < limit:
																					__snake_case     			=       False
																					__snake_case     			=       index + i

							__snake_case     			=       [2]

							for i in range(3							,    __lowerCAmelCase							,    2 ):
														if is_prime[i]:
																					primes.append(__lowerCAmelCase )

							return primes
def   __UpperCamelCase   (					SCREAMING_SNAKE_CASE = 1_00_00_00 )  ->     int:







							"""simple docstring"""


							__snake_case     			=       prime_sieve(__lowerCAmelCase )
							__snake_case     			=       0
							__snake_case     			=       0

							for i in range(len(__lowerCAmelCase ) ):
														for j in range(i + length							,    len(__lowerCAmelCase ) ):
																					__snake_case     			=       sum(primes[i:j] )
																					if sol >= ceiling:
																												break

																					if sol in primes:
																												__snake_case     			=       j - i
																												__snake_case     			=       sol

							return largest


if __name__ == "__main__":
		print(F"""{solution() = }""")


"""simple docstring"""







from __future__ import annotations

from dataclasses import dataclass







@dataclass
class 							__magic_name__     :
					_SCREAMING_SNAKE_CASE       :					float
					_SCREAMING_SNAKE_CASE       :					TreeNode | None     							=   None
					_SCREAMING_SNAKE_CASE       :					TreeNode | None     							=   None




def   __UpperCamelCase   (					SCREAMING_SNAKE_CASE )  ->     bool:







							"""simple docstring"""


							def is_valid_tree(SCREAMING_SNAKE_CASE ) -> 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							,    SCREAMING_SNAKE_CASE							,    SCREAMING_SNAKE_CASE ) -> 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()
