Lunacy calculations for Walpurgisnacht, Refreshes, and First Time Rewards for Newbies

https://docs.google.com/spreadsheets/d/e/2PACX-1vSOtWLeFFoou4zTV5kDzP2LqD24A6lfTvF-aD-oA2YlxFUcPcOvBLGM1lfx1QsSVphZjd0zuvyKZMbR/pubhtml?gid=0&single=true

It's probably already been done before, but I made some basic estimates for lunacy rationing to determine how many times to refresh a day and (because I have a friend who's just starting out) the minimum enkephalin needed to make refreshing worth it as well as how many pulls a new player can do if they want to still have 200 pulls saved for walpurgisnacht. It's a bit rough and I also only started around a month and a half ago so I might have a few of the numbers wrong or be missing some semi-regular limited time log-in events, but I tried to be as thorough as I could. I'd appreciate if someone else more experienced could take a look and let me know if there are any obvious things I'm missing! Also sorry if the formatting's a bit of a mess, I'm not great with excel.

Hope this helps!

Tl;dr:

- Refreshing 1.5x a day (once every day, a second time every other day) seems like the only way to guarantee 200 pulls for all 3 walpurgisnachts a year. Still kinda true but see note!

- For newbies, refreshing up to twice a day is always (technically) worth it in terms of lunacy -> shards if you own the BP or plan to get it. If you don't plan on getting the BP, then refreshing twice a day only breaks even after you exceed an enkephalin capacity of 101 (if all you care about are 3*s and EGO).

- New players who finish up through canto 7 can safely do 10 ten-pulls prior to walpurgisnacht, assuming they buy the bp and don't refresh during walpurgis. 13 ten-pulls as of the time of writing if they participate in the next event which will presumably take place before walpurgis.

- EDIT: Oh, I just realized I forgot to include deca-extractions from refraction railroads! Ok, well that changes things somewhat! With that in mind, the guaranteed net yearly lunacy from 2x refreshes is only about -1100! So given how generous PM is and how this list doesn't account for random log-in rewards or bug hand-outs, refreshing 2x a day is probably fine! And even in the worst case and there aren't any hand-outs or game breaking bugs (lol) you can still make up whatever yearly deficit might occur from just 3 weeks of not refreshing during walpurgisnacht.

Also fixed the refresh recommendation for newbies to account for random 1* shards from pulling.