

from math import ceil, sqrt

def 			lowerCamelCase__			(       _a = 1000000):
	SCREAMING_SNAKE_CASE :   List[Any]					  =							0

	for outer_width in range(3				,      (limit // 4) + 2):
		if outer_width**2 > limit:
			SCREAMING_SNAKE_CASE :   str					  =							max(ceil(sqrt(outer_width**2 - limit))				,      1)
		else:
			SCREAMING_SNAKE_CASE :   str					  =							1
		if (outer_width - hole_width_lower_bound) % 2:
			hole_width_lower_bound += 1

		answer += (outer_width - hole_width_lower_bound - 2) // 2 + 1

	return answer


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






def  __UpperCAmelCase(   lowercase_			,     lowercase_   ):
       # "extended trapezoidal rule"
       # int(f) = dx/2 * (f1 + 2f2 + ... + fn)
       _lowerCamelCase				:  int						=		(boundary[1] - boundary[0]) / steps
       _lowerCamelCase				:  Any						=		boundary[0]
       _lowerCamelCase				:  Tuple						=		boundary[1]
       _lowerCamelCase				:  Optional[Any]						=		make_points(lowercase_			,     lowercase_			,     lowercase_   )
       _lowerCamelCase				:  Dict						=		0.0
       y += (h / 2.0) * f(lowercase_   )
       for i in x_i:
              # print(i)
              y += h * f(lowercase_   )
       y += (h / 2.0) * f(lowercase_   )
       return y




def  __UpperCAmelCase(   lowercase_			,     lowercase_			,     lowercase_   ):
       _lowerCamelCase				:  Dict						=		a + h
       while x < (b - h):
              yield x
              _lowerCamelCase				:  Dict						=		x + h




def  __UpperCAmelCase(   lowercase_   ):  # enter your function here
       _lowerCamelCase				:  List[str]						=		(x - 0) * (x - 0)
       return y




def  __UpperCAmelCase(   ):
       _lowerCamelCase				:  List[Any]						=		0.0  # Lower bound of integration
       _lowerCamelCase				:  Union[str, Any]						=		1.0  # Upper bound of integration
       _lowerCamelCase				:  Dict						=		1_0.0  # define number of steps or resolution
       _lowerCamelCase				:  Optional[int]						=		[a, b]  # define boundary of integration
       _lowerCamelCase				:  str						=		method_a(lowercase_			,     lowercase_   )
       print(F"""y = {y}"""   )


if __name__ == "__main__":
       main()

