



def       A_   (						__a  :					Dict			,		__a  :					int		):

				"""simple docstring"""
				# "Simpson Rule"
				# int(f) = delta_x/2 * (b-a)/3*(f1 + 4f2 + 2f_3 + ... + fn)
				a__					   =		(boundary[1] - boundary[0]) / steps
				a__					   =		boundary[0]
				a__					   =		boundary[1]
				a__					   =		make_points(__a			,		__a			,		__a		)
				a__					   =		0.0
				y += (h / 3.0) * f(__a		)
				a__					   =		2
				for i in x_i:
								y += (h / 3) * (4 - 2 * (cnt % 2)) * f(__a		)
								cnt += 1
				y += (h / 3.0) * f(__a		)
				return y

def       A_   (						__a  :					Any			,		__a  :					Any			,		__a  :					List[Any]		):

				"""simple docstring"""
				a__					   =		a + h
				while x < (b - h):
								yield x
								a__					   =		x + h

def       A_   (						__a  :					Optional[int]		):  # enter your function here

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

def       A_   (						):

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


if __name__ == "__main__":
	main()






from math import gcd

def       A_   (						__a  :					int = 12_000		):

				"""simple docstring"""
				a__					   =		0
				for d in range(max_d + 1		):
								for n in range(d // 3 + 1			,		(d + 1) // 2		):
												if gcd(__a			,		__a		) == 1:
																fractions_number += 1
				return fractions_number


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

