If we were to type these Python statements and expressions into the interpreter, what would they do? These all either evaluate to a value, an error, or another function. These start out fairly easy and get pretty tough by then end. Remember your rules for evaluating lambdas!

``````>>> x = lambda: 4
>>> y = lambda x: x + 3
>>> z = lambda x: y
>>> z(4)(1)               #1

>>> z(5)(1)               #2

>>> h = lambda f, g: g(f)
>>> h(lambda x: x * 2, lambda x: x)(2)      #3

>>> g = lambda f: f(f)
>>> g(g(lambda x: x))(3)  #4

>>> g(g(lambda x: x))(lambda x: x + 5)(1)   #5

>>> a = lambda b: lambda a: b(a)
>>> b = lambda b: lambda b: b + 1
>>> a(b)                #6

>>> a(b)(1)(2)          #7

>>> b(a)(5)             #8

>>> b(a(b))(7)          #9

>>> c = lambda a, b: (b, a)
>>> b(a(c))(5)          #10

>>> c(a, b)(b)(1)(2) #11

>>> c(b(1), b(2))(5) #12
``````

You can break this question up into subquestions. The first part is numbers 1-2, second part is 3-5, third part is 6-12.

Toggle Solution

1. 4
2. 4
3. 4
4. 3
5. 6
6. function
7. 3
8. 6
9. 8
10. 6
11. 3
12. 6

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