




"""simple docstring"""

from math import gcd



def 					UpperCamelCase__       (						lowercase__					:       int = 1_2000				):
		snake_case						:  Any        =			0
		for d in range(max_d + 1				):
				for n in range(d // 3 + 1    ,       (d + 1) // 2				):
						if gcd(lowercase__    ,       lowercase__				) == 1:
								fractions_number += 1
		return fractions_number


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







"""simple docstring"""

def 					UpperCamelCase__       (						lowercase__					:       set    ,       lowercase__					:       set				):
		assert isinstance(lowercase__    ,       lowercase__				), F'''The input value of [set_a={set_a}] is not a set'''
		assert isinstance(lowercase__    ,       lowercase__				), F'''The input value of [set_b={set_b}] is not a set'''

		return {a + b for a in set_a for b in set_b}


if __name__ == "__main__":
							from doctest import testmod

							testmod()

