



'''simple docstring'''

def      __lowerCamelCase     (      lowerCAmelCase_ = 1000000  )			->      int:
		_a     :      List[Any]        =							limit + 1
		_a     :      int        =							[0] * limit
		for first_term in range(1						,			lowerCAmelCase__  ):
				for n in range(lowerCAmelCase__						,			lowerCAmelCase__						,			lowerCAmelCase__  ):
						_a     :      int        =							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

		_a     :      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  _A						(       metaclass=lowerCAmelCase	):
      snake_case__			:   Optional[int]							  =	['torch', 'torchsde']

      def __init__(						self		,       *__lowerCAmelCase		,       **__lowerCAmelCase						):







            """simple docstring"""



            requires_backends(self		,       ["""torch""", """torchsde"""]						)

      @classmethod
      def 				A__       (						cls		,       *__lowerCAmelCase		,       **__lowerCAmelCase						):







            """simple docstring"""



            requires_backends(cls		,       ["""torch""", """torchsde"""]						)







      @classmethod
      def 				A__       (						cls		,       *__lowerCAmelCase		,       **__lowerCAmelCase						):







            """simple docstring"""



            requires_backends(cls		,       ["""torch""", """torchsde"""]						)



