
from math import loga



def  UpperCamelCase					(							lowerCAmelCase__	):
					'''simple docstring'''




					if a < 0:
										raise ValueError('''Input value must be a positive integer'''	)
					elif isinstance(_lowerCAmelCase				,    _lowerCAmelCase	):
										raise TypeError('''Input value must be a \'int\' type'''	)
					return 0 if (a == 0) else int(loga(a & -a	)	)


if __name__ == "__main__":
							import doctest

							doctest.testmod()








def  UpperCamelCase					(							lowerCAmelCase__ = 1000	):
					'''simple docstring'''
					lowercase					=		-1
					lowercase					=		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					=		(n * n - 2 * a * n) // (2 * n - 2 * a)
										lowercase					=		n - a - b
										if c * c == (a * a + b * b):
															lowercase					=		a * b * c
															if candidate >= product:
																				lowercase					=		candidate
					return product


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




