id,node_id,number,title,user,state,locked,assignee,milestone,comments,created_at,updated_at,closed_at,author_association,active_lock_reason,draft,pull_request,body,reactions,performed_via_github_app,state_reason,repo,type
1421065459,PR_kwDOAMm_X85BbUp9,7206,"Save groupby codes after factorizing, pass to flox",2448579,closed,0,,,2,2022-10-24T16:00:35Z,2023-03-30T04:36:40Z,2023-03-29T16:28:28Z,MEMBER,,0,pydata/xarray/pulls/7206,"<!-- Feel free to remove check-list items aren't relevant to your change -->

- [x] Closes #6689,
- xref #6610
- [x] Closes #7601 
- [x] Tests added

This is an alternative to #6689. 
- There I tried to avoid factorizing in the GroupBy constructor, and passed the `by` variable directly to `flox`. Most GroupBy methods however depend on various steps in `__init__`, so it became messy.
- Here I instead preserve factorizing in the constructor and pass the factorized codes to `flox`. This simplifies things a lot. Since we'll want to preserve the ""for loop over groups"" approach for `GroupBy.map`, we'll need something like this anyway.
 
The large amount of deleted code in `_flox_reduce` here suggests to me that this is the better approach.

I think we could also use this to generalize to multiple groupers:
- factorize each,
- `ravel_muti_index` to generate a singe variable to groupby
- apply
- reshape to output shape
- assign new indices.
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1421036686,PR_kwDOAMm_X85BbOeg,7205,Fix binning when labels are provided.,2448579,closed,0,,,0,2022-10-24T15:40:27Z,2022-10-26T15:56:37Z,2022-10-26T15:56:35Z,MEMBER,,0,pydata/xarray/pulls/7205,"- [x] Closes #7198
- [x] Tests added
- [ ] User visible changes (including notable bug fixes) are documented in `whats-new.rst`
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