

"""simple docstring"""





def   __SCREAMING_SNAKE_CASE  (      A_ = 1_00_00_00 ):
	lowerCAmelCase__	:						Optional[Any]  				=	limit + 1
	lowerCAmelCase__	:						Dict  				=	[0] * limit
	for first_term in range(1						,     A_ ):
		for n in range(A_						,     A_						,     A_ ):
			lowerCAmelCase__	:						Union[str, Any]  				=	first_term + n / first_term
			if common_difference % 4:  # d must be divisble by 4
				continue
			else:
				common_difference /= 4
				if (
				    first_term > common_difference
				    and first_term < 4 * common_difference
				):  # since x,y,z are positive integers
					frequency[n] += 1  # so z>0 and a>d ,also 4d<a

	lowerCAmelCase__	:						List[Any]  				=	sum(1 for x in frequency[1:limit] if x == 10 )

	return count


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







"""simple docstring"""





from ..utils import DummyObject, requires_backends







class 				SCREAMING_SNAKE_CASE					(		metaclass=a_       ):






					"""simple docstring"""



					lowercase__				 =       ["speech"]







					def __init__(       self			:				Tuple   ,*lowercase_			:				Tuple   ,**lowercase_			:				List[str]		):
						requires_backends(self   ,['''speech''']		)







class 				SCREAMING_SNAKE_CASE					(		metaclass=a_       ):






					"""simple docstring"""



					lowercase__				 =       ["speech"]







					def __init__(       self			:				Union[str, Any]   ,*lowercase_			:				List[str]   ,**lowercase_			:				Any		):
						requires_backends(self   ,['''speech''']		)




