
def 		UpperCamelCase     (       _UpperCAmelCase  :   int = 1000  )   ->			int:






						'''simple docstring'''

						_lowercase       :	List[str]           =   -1
						_lowercase       :	Union[str, Any]           =   0
						for a in range(1 ,			n // 3  ):
												# Solving the two equations a**2+b**2=c**2 and a+b+c=N eliminating c
												_lowercase       :	List[str]           =   (n * n - 2 * a * n) // (2 * n - 2 * a)
												_lowercase       :	Dict           =   n - a - b
												if c * c == (a * a + b * b):
																		_lowercase       :	int           =   a * b * c
																		if candidate >= product:
																								_lowercase       :	List[Any]           =   candidate
						return product


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






import copy
from dataclasses import dataclass
from pathlib import Path
from typing import Dict, Optional, Union




@dataclass
class   __lowercase						:
	_A       =   None
	_A       =   False
	_A       =   False
	_A       =   False
	_A       =   None
	_A       =   None
	_A       =   False
	_A       =   False
	_A       =   False
	_A       =   True
	_A       =   None
	_A       =   1
	_A       =   None
	_A       =   False
	_A       =   None
	_A       =   None






	def       _a(self				: str    ) ->			"DownloadConfig":
							return self.__class__(**{k: copy.deepcopy(snake_case    ) for k, v in self.__dict__.items()}    )




