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def max_area(L):
	L.sort()

	left, right = 0,0

	while len(L) > 0:
		# if the left is shorter, put the twig over there
		if left < right:
			left += L.pop()
		# if the right is shorter, put it on the right

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def memoize(F):
	# A hash table for storing previous states
	hashed_states = {}
	
	def memoized_F(*args):
		# if we haven't memoized this state, calculate
		# it. Then return it
		if args not in hashed_states:
			hashed_states[args] = F(*args)

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class typecheck:
	def __init__(self, *args):
		self.types = args

	def __call__(self, F):
		# create a new function that checks
		# the function types first
		def typechecked_F(*args):
			for expected_type, arg in zip(self.types, args):