KQM | Genshin Impact

new-albedo-eula-crafting-passive-efficiency-vs-mona-xingqiu

79 messages

Yuehai Ticketing SecretaryBOTMay 18, 2021 1:18 PM

@Lumine is Canon MC |Eula's thigh - albedo/eula crafting passive efficiency vs. mona/xingqiu
As an author, It is **your** responsibility to complete the ticket
- Take advice constructively
- NO disrespectful behavior
- The ticket will be scrapped if: No activity > 1 week or open for > 1 mo.
- When done, type $close

Lumine is Canon MC |Eula's thighMay 18, 2021 1:24 PM

Finding: Albedo's crafting passive isn't just straight 20% better than Mona's crafting passive (as stated in KQM guide) due to the fact that Mona's passive also allows for more subsequent crafting to be done, therefore more trials, therefore more chances of success.
Evidence: Through simulating a large number of crafting trials, I will post a screenshot of my code below
Significance: Albedo/Eula passive isn't as good as it initially seems when compared to Xingqiu/Mona
Conclusion: From the results of my simulation (feel free to scrutinize my code, I have double checked it 3-4x myself), it seems that Eula/Albedo is passive is actually *10%* better than than Xingqiu/Mona instead of the initial 20%. If you take into account the initial talent books for the comparison then the difference is a whopping 1%.(edited)

Lumine is Canon MC |Eula's thighMay 18, 2021 1:43 PM

explaining the code:
Basically a while loop that keeps going and constantly checks if you have enough green talent books to craft a blue talent book. If you do, then you craft it and that counts as one trial that has a chance of proccing their passive. As long as you have 3 or more green talent books, the code will keep running.
explaining some variables:
finalxing/finaleula - is the total number of bonus green books that Eula/Xingqiu gives. This is computed by multiplying the number of blue talent books we have as a final result by 3, adding the leftover talent books that can't be used for crafting anymore (tbe or tbx is always either 0, 1, or 2), and then subtracting by the initial number of talent books we have. Basically:
(Final book value) - (Initial book value) = (How much book value we got from their respective passives)
comparison - dividing finaleula by finalxing gives us how much better Eula's passive is compared to Xingqiu, and vice versa(edited)

capri sun specialeMay 18, 2021 2:28 PM

You should probably note that being 10% better results in a 1% difference in final outcome.

The math works out to albedo making each green worth 1.1 of a green and Mona worth 1+1/11

Which is in line with being 10% better when you take away the base (so the bonus is 10% more)

Mona/xq is worth 1+1/11 because 0.25 to create bonus value of 1 per 3 spent results in a geometric sum where r=0.25/3

a=1

Since |r|<1, it converges to a/(1-r)

The simulation code looks good to me

Greyhound | cryo is best cryptoMay 18, 2021 2:45 PM

@Lumine is Canon MC |Eula's thigh are you going to add more to the ticket? if not you should be $close -ing it

AyzelMay 18, 2021 3:36 PM

didn't we already calc this

Greyhound | cryo is best cryptoMay 18, 2021 3:37 PM

not for eula I don't think haven't seen a ticket on it

AyzelMay 18, 2021 3:38 PM

no like albedo vs mona craft

i forgot if it was on kqm

Greyhound | cryo is best cryptoMay 18, 2021 3:38 PM

yeah that's on kqm already

AyzelMay 18, 2021 3:39 PM

is it in tcl?

AyzelMay 18, 2021 3:40 PM

hmm

ok i prob saw it somewhere else

but i know that i saw evidence that mona's passive was about as strong as albedo's somewhere

Greyhound | cryo is best cryptoMay 18, 2021 3:40 PM

also who do I have to send a complaint to for darkmode setting to save

AyzelMay 18, 2021 3:41 PM

the guide needs to be changed tho

but raidriar has been like

gone for forever

guess we're just taking it over lol

Greyhound | cryo is best cryptoMay 18, 2021 3:41 PM

just needs to be corrected since value is proven wrong

and should also be added to vault I guess

3b00d_09 | Vengeance?May 18, 2021 4:27 PM

#server-site-feedback for any website suggestions/issues

Lumine is Canon MC |Eula's thighMay 18, 2021 5:17 PM

Yup you're right and the Math does check out with Xingqiu/Mona talent as a geometric series. I just like simulating stuff as first instinct being a software engineer LOL so I put this together in about 5 minutes. And it is true that the difference is only 1% if you take the base amount of talent books into account, I'll add that in thanks

Nope nothing much more, I'll close it I guess. Sorry this is my first time submitting a ticket and I fell asleep shortly after I posted this lol.

Greyhound | cryo is best cryptoMay 18, 2021 5:17 PM

no worries it's because it's your first ticket that I said that

1

Lumine is Canon MC |Eula's thighMay 18, 2021 5:18 PM

Yeah I saw in KQM Albedo's guide saying it was 20% and asked around in TC chat which is what prompted me to make the ticket

JonahFarc | Battery Archon?May 20, 2021 5:59 PM

Mathematically, I imagine that XQ's should be higher actually...
Assuming Green Book = 1 and Blue Book = 3
Eula should give you 0.1*3 = 0.3 more books on average
XQ should give infinite sum (1/4^n) * 1 = 0.333 more books on average

Codewise, I'm not sure why we subtract tb from the final calcs

Yuehai Ticketing SecretaryBOTMay 21, 2021 2:07 AM

Ticket Opened by @Ayzel

Lumine is Canon MC |Eula's thighMay 21, 2021 2:32 AM

Subtracting tb means ignoring the initial number of talent books we have, so we only compare how many more books we got from their passives(edited)

(Initial books) + (books gained from passive) = (final books)

So (final books) - (initial books) = (books gained from passive)(edited)

And even if you add back tb in Eula will still yield more albeit being 1% better insteaf of 10%

I think the thing with Xingqiu though is per crafter he can only give one refund per craft and you need to use R = 1/12

Actually I'm not sure about the math side myself so I decided to go for a simulations approach and it seems to agree with the Math capri said

miliana | klee's VA /sMay 21, 2021 6:01 AM

wdym by 1/4^n * 1?

if u start with "3" books, then u have a 25% chance of getting 1 book on ur first craft (avg would be 1/4 of a book ). Then you would have another 25% chance of getting 1/3 of the 1/4 book. So 1/4 * 1/12 books. the geometric sequence has initial number as 1/4 and r=1/12.
(1/4)/(1-1/12) = 0.27272727....

not sure where .3333 is from

JonahFarc | Battery Archon?May 21, 2021 6:03 AM

didn't consider fact of requiring 3 occurrences to craft because brain dead

miliana | klee's VA /sMay 21, 2021 6:04 AM

mathematically, .3/.272727.. = 1.1

and this sim has it to like 1.0999

so its correct

code looks great too

verified

JonahFarc | Battery Archon?May 21, 2021 6:04 AM

i will recommend simplifying code in the future tho kek

miliana | klee's VA /sMay 21, 2021 6:05 AM

or just... do basic math

kekw

JonahFarc | Battery Archon?May 21, 2021 6:05 AM

true but if you're like me

you can't do basic math apparently

slow brain

miliana | klee's VA /sMay 21, 2021 6:09 AM

anyway ive verified this one

JonahFarc | Battery Archon?May 21, 2021 6:11 AM

it's not closed yet

either way

when it closes, if another editor gets to this before me, me and millie sign off so just move it straight to publishing

Lumine is Canon MC |Eula's thighMay 21, 2021 7:50 AM

yeah I could have probably figured out the math too LOL but I being a software dev it was faster for me to just code it in (took about 5 mins) than try to figure out the Math and possibly be wrong

so should I close this again?

JonahFarc | Battery Archon?May 21, 2021 8:16 AM

verified by me and mili

3b00d_09 | Vengeance?May 21, 2021 10:03 AM

k!tc @Lumine is Canon MC |Eula's thigh

KeqingBOTMay 21, 2021 10:03 AM

Added **Wangsheng Theorycrafter** to **@Lumine is Canon MC |Eula's thigh**!

ID: 414120416366559244 | Role ID: 764838634280845312

AyzelMay 21, 2021 3:56 PM

imagine knowing how to do basic math

JonahFarc | Battery Archon?May 21, 2021 4:13 PM

ikr

master's degree in math btw

xd

Yuehai Ticketing SecretaryBOTMay 22, 2021 2:37 AM

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