Your task

Write a function that takes two functions and composes them like this:

a = lambda a0, a1, ..., an: ...
b = lambda b0, b1, ..., bm: ...

compose(a, b) == lambda b0, b1, ..., bm, a1, ..., an: a(b(b0, b1, ..., bm), a1, ..., an)

Important note: the number of positional arguments will be checked (it has to be exact!).

Test data

The functions in the tests will have between 1 and 50 arguments, just enough so you won't hardcode solutions.

Example

a = lambda i, j: i * j
b = lambda i, j: i + j

compose(a, b) == lambda i, j, k: a(b(i, j), k) # i.e. => lambda i, j, k: (i + j) * k

Have fun :D