

'''simple docstring'''


from collections.abc import Callable

lowerCAmelCase__      				=			Callable[[float], float]  # type alias for a real -> real function







def     SCREAMING_SNAKE_CASE(	UpperCamelCase ,UpperCamelCase ,UpperCamelCase ,)     ->     float:
	UpperCAmelCase_		:   Any													=       float(UpperCamelCase	)
	while True:
		try:
			UpperCAmelCase_		:   str													=       prev_guess - function(UpperCamelCase	) / derivative(UpperCamelCase	)
		except ZeroDivisionError:
			raise ZeroDivisionError('Could not find root'	) from None
		if abs(prev_guess - next_guess	) < 1_0**-5:
			return next_guess
		UpperCAmelCase_		:   Optional[int]													=       next_guess







def     SCREAMING_SNAKE_CASE(	UpperCamelCase	)     ->     float:
	return (x**3) - (2 * x) - 5







def     SCREAMING_SNAKE_CASE(	UpperCamelCase	)     ->     float:
	return 3 * (x**2) - 2


if __name__ == "__main__":
						print(newton(f, fa, 3))









'''simple docstring'''


from itertools import combinations, product







def     SCREAMING_SNAKE_CASE(	UpperCamelCase ,UpperCamelCase ,UpperCamelCase ,UpperCamelCase	)     ->     bool:
	if xa == ya == 0 or xa == ya == 0:
		return False
	UpperCAmelCase_		:   int													=       xa * xa + ya * ya
	UpperCAmelCase_		:   List[str]													=       xa * xa + ya * ya
	UpperCAmelCase_		:   Optional[Any]													=       (xa - xa) * (xa - xa) + (ya - ya) * (ya - ya)
	return (
	    a_square + b_square == c_square
	    or a_square + c_square == b_square
	    or b_square + c_square == a_square
	)







def     SCREAMING_SNAKE_CASE(	UpperCamelCase = 5_0	)     ->     int:
	return sum(
	    1
	    for pta, pta in combinations(product(range(limit + 1	) ,repeat=2	) ,2	)
	    if is_right(*UpperCamelCase ,*UpperCamelCase	)	)


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






