Just a note, high denominations are not great during emergencies, unless you mean big purchase emergencies. Buying food and gas with high denomination bills may end up in seller not accepting the bill because they have no change. Or happily accepting that bill despite having no change.
For small change, you could take the jar to your bank and make a cash deposit (and see the cashier die inside). In some branches they have machines for counting change.
Yeah, one man did hours of profiling and the other made the patch more elegant lol