"""simple docstring"""







from __future__ import annotations

from cmath import sqrt


def      __lowerCAmelCase(		__UpperCAmelCase     ,__UpperCAmelCase     ,__UpperCAmelCase			):






	"""simple docstring"""





	if a == 0:
		raise ValueError('Coefficient \'a\' must not be zero.'			)
	_lowercase :    List[Any]							=							b * b - 4 * a * c

	_lowercase :    Dict							=							(-b + sqrt(lowerCAmelCase__			)) / (2 * a)
	_lowercase :    int							=							(-b - sqrt(lowerCAmelCase__			)) / (2 * a)

	return (
	    root_a.real if not root_a.imag else root_a,
	    root_a.real if not root_a.imag else root_a,
	)


def      __lowerCAmelCase(		):






	"""simple docstring"""





	_lowercase				,      _lowercase :    int							=							quadratic_roots(a=5     ,b=6     ,c=1			)
	print(F'''The solutions are: {solutiona} and {solutiona}'''			)


if __name__ == "__main__":
						main()




"""simple docstring"""







import functools


def      __lowerCAmelCase(		__UpperCAmelCase     ,__UpperCAmelCase			):






	"""simple docstring"""





	if not isinstance(__UpperCAmelCase     ,__UpperCAmelCase			) or not all(isinstance(__UpperCAmelCase     ,__UpperCAmelCase			) for day in days			):
		raise ValueError('The parameter days should be a list of integers'			)

	if len(__UpperCAmelCase			) != 3 or not all(isinstance(__UpperCAmelCase     ,__UpperCAmelCase			) for cost in costs			):
		raise ValueError('The parameter costs should be a list of three integers'			)

	if len(__UpperCAmelCase			) == 0:
		return 0

	if min(__UpperCAmelCase			) <= 0:
		raise ValueError('All days elements should be greater than 0'			)

	if max(__UpperCAmelCase			) >= 366:
		raise ValueError('All days elements should be less than 366'			)

	_lowercase :    List[Any]							=							set(__UpperCAmelCase			)

	@functools.cache
	def dynamic_programming(__UpperCAmelCase			) -> int:
		if index > 365:
			return 0

		if index not in days_set:
			return dynamic_programming(index + 1			)

		return min(
		    costs[0] + dynamic_programming(index + 1			)     ,costs[1] + dynamic_programming(index + 7			)     ,costs[2] + dynamic_programming(index + 30			)     ,)

	return dynamic_programming(1			)


if __name__ == "__main__":
						import doctest

						doctest.testmod()



