Time: Thu 9/21/17 3 pm
Terminology. An order 1 numeric function is a function that takes a number and returns a number. An order 2 numeric function is a function that takes a number and returns an order 1 numeric function. Likewise, an order n numeric function is a function that takes a number and returns an order n − 1 numeric function.
The argument sequence of a nested call expression is the sequence of all arguments in all subexpressions, in the order they appear. For example, the expression f(3)(4)(5)(6)(7) has the argument sequence 3, 4, 5, 6, 7.
Implement multiadder, which takes a positive integer n and returns an order n numeric function that sums an argument sequence of length n.
def multiadder(n):
"""
Return a function that takes N arguments, one at a time, and adds them.
>>> f = multiadder(3)
>>> f(5)(6)(7)
18
>>> multiadder(1)(5)
5
>>> multiadder(2)(5)(6)
11
>>> multiadder(4)(5)(6)(7)(8) # 5 + 6 + 7 + 8
26
"""
assert n > 0
if :
return
else:
return Complete the expression below by writing one integer in each blank so that the whole expression evaluates to 2016. Assume multiadder is implemented correctly.
def compose1(f, g):
def h(x):
return f(g(x))
return h
compose1(multiadder(__________)(1000), multiadder(__________)(10)(__________))(1)(2)(3)