


def 				lowerCamelCase__	(      a	:   int = 50_000_000				)    ->	int:





   """simple docstring"""
   a__ :Optional[Any]						  =    set()
   a__ :Optional[int]						  =    int((limit - 24) ** (1 / 2)				)

   a__ :int						  =    set(range(3	,  prime_square_limit + 1	,  2				)				)
   primes.add(2				)
   for p in range(3	,  prime_square_limit + 1	,  2				):
      if p not in primes:
         continue
      primes.difference_update(set(range(p * p	,  prime_square_limit + 1	,  a				)				)				)

   for primea in primes:
      a__ :int						  =    primea * primea
      for primea in primes:
         a__ :Dict						  =    primea * primea * primea
         if square + cube >= limit - 16:
            break
         for primea in primes:
            a__ :str						  =    primea * primea * primea * primea
            a__ :Optional[Any]						  =    square + cube + tetr
            if total >= limit:
               break
            ret.add(a				)

   return len(a				)


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






def 				lowerCamelCase__	(      a	:   int	,  a	:   int				)    ->	Any:





			"""simple docstring"""
			# "extended trapezoidal rule"
			# int(f) = dx/2 * (f1 + 2f2 + ... + fn)
			a__ :Optional[int]						  =    (boundary[1] - boundary[0]) / steps
			a__ :str						  =    boundary[0]
			a__ :Optional[int]						  =    boundary[1]
			a__ :str						  =    make_points(a	,  a	,  a				)
			a__ :Any						  =    0.0
			y += (h / 2.0) * f(a				)
			for i in x_i:
						# print(i)
						y += h * f(a				)
			y += (h / 2.0) * f(a				)
			return y


def 				lowerCamelCase__	(      a	:   Any	,  a	:   str	,  a	:   Dict				)    ->	int:





			"""simple docstring"""
			a__ :Union[str, Any]						  =    a + h
			while x < (b - h):
						yield x
						a__ :str						  =    x + h


def 				lowerCamelCase__	(      a	:   Optional[int]				)    ->	List[Any]:  # enter your function here





			"""simple docstring"""
			a__ :Tuple						  =    (x - 0) * (x - 0)
			return y


def 				lowerCamelCase__	(      )    ->	List[str]:





			"""simple docstring"""
			a__ :Optional[Any]						  =    0.0  # Lower bound of integration
			a__ :Optional[Any]						  =    1.0  # Upper bound of integration
			a__ :List[str]						  =    1_0.0  # define number of steps or resolution
			a__ :int						  =    [a, b]  # define boundary of integration
			a__ :str						  =    method_a(a	,  a				)
			print(F'''y = {y}'''				)


if __name__ == "__main__":
		main()


