combinatorics via __future__ generators

[Phlip]

On Nov 18, 4:58 pm, Phlip <phlip2... at gmail.com> wrote:
> Python:
>
> I have a quaint combinatorics problem. Before I solve it, or find a
> solution among "generators", I thought y'all might like to show off
> any solutions.
>
> Given an array like this...
>
>   [0, 4, 3]
>
> Produce an array like this:
>
>   [
>     [0, 0, 0],
>     [0, 1, 0],
>     [0, 2, 0],
>     [0, 3, 0],
      [0, 0, 1],
>     [0, 1, 1],
>     [0, 2, 1],
>     [0, 3, 1],
      [0, 0, 2],
>     [0, 1, 2],
>     [0, 2, 2],
>     [0, 3, 2],
> ]

I forgot those combinations!

>
> The first array is the counts of options in 4 slots, and the second is
> all combinations of indexes of each option, such that every option
> associates once with every other option. The leading 0 simply
> represents a slot with no options; the algorithm must preserve those.
>
> This should be child's play for the generator package, right?
>
> --
>   Phlip
>  http://zeekland.zeroplayer.com/