
from __future__ import annotations

from pathlib import Path




def     a						(							snake_case__: tuple[int, int]						,       snake_case__: tuple[int, int] ):


				'''simple docstring'''
				return pointa[0] * pointa[1] - pointa[1] * pointa[0]




def     a						(							snake_case__: int						,       snake_case__: int						,       snake_case__: int						,       snake_case__: int						,       snake_case__: int						,       snake_case__: int ):


				'''simple docstring'''
				lowercase_					  = (xa, ya)
				lowercase_					  = (xa - xa, ya - ya)
				lowercase_					  = (xa - xa, ya - ya)
				lowercase_					  = -vector_product(snake_case__						,       snake_case__ ) / vector_product(
				    snake_case__						,       snake_case__ )
				lowercase_					  = +vector_product(snake_case__						,       snake_case__ ) / vector_product(
				    snake_case__						,       snake_case__ )

				return a > 0 and b > 0 and a + b < 1




def     a						(							snake_case__: str = "p102_triangles.txt" ):


				'''simple docstring'''
				lowercase_					  = Path(snake_case__ ).parent.joinpath(snake_case__ ).read_text(encoding='''utf-8''' )

				lowercase_					  = []
				for line in data.strip().split('''\n''' ):
								triangles.append([int(snake_case__ ) for number in line.split(''',''' )] )

				lowercase_					  = 0
				lowercase_					  = 42

				for triangle in triangles:
								ret += contains_origin(*snake_case__ )

				return ret


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






class 			lowercase__:



	"""simple docstring"""




	def __init__(	self  :      str	)	->					None:
					lowercase_					  = [0, 1]




	def 						_lowercase  (	self  :      str	,							SCREAMING_SNAKE_CASE_  :      int	)	->					list:
					if (difference := index - (len(self.sequence	) - 2)) >= 1:
									for _ in range(SCREAMING_SNAKE_CASE_	):
													self.sequence.append(self.sequence[-1] + self.sequence[-2]	)
					return self.sequence[:index]




def     a						(							):


				'''simple docstring'''
				print(
				    '''Fibonacci Series Using Dynamic Programming\n'''						,       '''Enter the index of the Fibonacci number you want to calculate '''						,       '''in the prompt below. (To exit enter exit or Ctrl-C)\n'''						,       sep=''''''						,       )
				lowercase_					  = Fibonacci()

				while True:
								lowercase_					  = input('''>> ''' )
								if prompt in {"exit", "quit"}:
												break

								try:
												lowercase_					  = int(snake_case__ )
								except ValueError:
												print('''Enter a number or \'exit\'''' )
												continue

								print(fibonacci.get(snake_case__ ) )


if __name__ == "__main__":
						main()




