itertools.product()

This tool computes the cartesian product of input iterables.
It is equivalent to nested for-loops.
For example, product(A, B) returns the same as ((x,y) for x in A for y in B).

_{Sample Code}

>>> from itertools import product >>> >>> print list(product([1,2,3],repeat = 2)) [(1, 1), (1, 2), (1, 3), (2, 1), (2, 2), (2, 3), (3, 1), (3, 2), (3, 3)] >>> >>> print list(product([1,2,3],[3,4])) [(1, 3), (1, 4), (2, 3), (2, 4), (3, 3), (3, 4)] >>> >>> A = [[1,2,3],[3,4,5]] >>> print list(product(*A)) [(1, 3), (1, 4), (1, 5), (2, 3), (2, 4), (2, 5), (3, 3), (3, 4), (3, 5)] >>> >>> B = [[1,2,3],[3,4,5],[7,8]] >>> print list(product(*B)) [(1, 3, 7), (1, 3, 8), (1, 4, 7), (1, 4, 8), (1, 5, 7), (1, 5, 8), (2, 3, 7), (2, 3, 8), (2, 4, 7), (2, 4, 8), (2, 5, 7), (2, 5, 8), (3, 3, 7), (3, 3, 8), (3, 4, 7), (3, 4, 8), (3, 5, 7), (3, 5, 8)] 

Task

You are given a two lists and . Your task is to compute their cartesian product X.

_Example

A = [1, 2] B = [3, 4] AxB = [(1, 3), (1, 4), (2, 3), (2, 4)] 

Note: and are sorted lists, and the cartesian product's tuples should be output in sorted order.