#Scientific Notation Money

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granite gyro
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e

dim coral
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e

craggy lark
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f

latent peak
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r

hushed cliff
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what are you doing to all me money

long zenith
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ok so we need 100 billion

dim coral
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ok I need numbers on the amount of commons/uncommons/rares

granite gyro
dim coral
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and I will write up a scuffed program to estimate the amount of loops itll take

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one simulation should be enough bc law of large numbers and all that

subtle hemlock
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Man this is so stupid, I'm so sorry.

granite gyro
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i'll ctrl f on balatro.wiki

hushed cliff
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16×4+2=66, subtract parking/vampire/vagabond/burnt, add sixth sense/seance, subtract glass/steel/lucky/stone

granite gyro
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67 uncommons

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but baseball is in the ctrl f

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so 66

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123-67 commons

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19 rares

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does that add up

long zenith
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lets do a fermi estimation and say that getting however many of a joker you want will take at most 1 yr

dim coral
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bc thats our joker technology

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or scoring tech sorry

long zenith
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lets ignore scoring

dim coral
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we will need steels in the deck for setup to happen

hushed cliff
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loop hanged man to get rid of the steels or something

craggy lark
long zenith
dim coral
hushed cliff
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does this have to be at killscreen

dim coral
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we def need either steel or glass in the deck to get to an ante to setup

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nope

granite gyro
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maybe baron without mime can get us far enough but idk

granite gyro
hushed cliff
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you could just have exactly enough steels to kill them all in an arcana pack right

granite gyro
dim coral
latent peak
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wait i just realized

dim coral
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youre right.

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no steels

latent peak
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if u score naninf do u lose???

dim coral
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nope

long zenith
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why are we talking about baron???

latent peak
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oh

dim coral
latent peak
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then why not just use DNA instead of certificate and then make a bunch of kings

hushed cliff
latent peak
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u dont need any steels

dim coral
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OK so let me get the numbers correct

latent peak
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oh wait u ned to get there in the first place ig

long zenith
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which took negligible time to do

latent peak
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idk this is out of my league at this point imma just read

hushed cliff
dim coral
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money = (Mimes x Parking) x (Certi + DNA) right?

subtle hemlock
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You can even just Wee to win anyway

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so it's all about money generation

dim coral
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and DNA + Certi will all have full blueprint power

long zenith
dim coral
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because you can just move them to mime/parking after

granite gyro
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ok apparently balatro.wiki is MISSING the rarity of sly-crafty jokers 😭

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but i got the numbers

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60 commons 66 uncommons 19 rares

latent peak
granite gyro
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adds up to 145 as expected

dim coral
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so uncommons we ignore stone lucky steel glass right

granite gyro
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fuck i should check if they updated for 1.0.1 rarity changes too

dim coral
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and commons we ignore golden ticket michel

granite gyro
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they did not

hushed cliff
granite gyro
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ok thanks

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yeah that looks right

latent peak
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wait also what about showman stuff?

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this will double the time

granite gyro
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we need showman to do this

dim coral
hushed cliff
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after itd be 59 commons 60 uncommons 20 rares

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i think

latent peak
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oh are we not trying to get all jokers anymore lol

dim coral
latent peak
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ig that's easier

dim coral
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ok beautiful

granite gyro
dim coral
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no the parking setup should be way easier

granite gyro
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yeah

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i'm guessing the only real issue timewise for the parking setup is gonna be animation speed

dim coral
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OK accounting for bpbs I believe the formula is (bpbs/2)x(mime x parking) x ((bpbs) x (certi + DNA))

granite gyro
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because it's $1 per animation

latent peak
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animation won't take thattt long

granite gyro
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maybe

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i guess negative chance is pretty low

latent peak
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at least in relation to how long it takes to get the jokers

hushed cliff
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cus of base hand size

dim coral
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its 70/25/5% common uncommon rare right

hushed cliff
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ye

granite gyro
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you could add juggler + marble to the right hand size

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which is probably not negligible actually

long zenith
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it is though

granite gyro
long zenith
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wait wait wait wait wait

dim coral
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waaait bpbs is addition not mult

granite gyro
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oh yeah was gonna mention that as well

hushed cliff
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yeah

granite gyro
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addition yeah

dim coral
granite gyro
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with juggler you will

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is what i meant

long zenith
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no marble joker adds cards which means if you have paradolia its face cards!!!!!

granite gyro
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yeah

latent peak
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wait so we're trying to get all jokers except showman? so you can control the joker spawns right

hushed cliff
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no

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we need 10k mimes you cant do that without showman

granite gyro
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we need showman to get duplicates for everything

dim coral
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ohhh yes juggler is in common pool! so it will outpace the handsize from DNA and certi!

granite gyro
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OH YEAH i didn't even think of the rarity there

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that's huge

dim coral
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I need to write the formula down on paper

granite gyro
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oh wait marble is uncommon though

latent peak
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ohh i see now

granite gyro
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that's still pretty impactful though

latent peak
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u can do cola cus u sell it anyway

dim coral
granite gyro
granite gyro
dim coral
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I should only think about marble count

hushed cliff
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hand size is 8, -1, whichever is lower between juggler and marble, bpbs+certificate, bpbs+dma

granite gyro
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i'm also gonna mention this sounds WAY more annoying to actually do than the cola strat

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so cola strat might still be worth thinking about

dim coral
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whaddahell I lost my pencil

granite gyro
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if you gotta choose between doing one of these for months

dim coral
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the thing is it could maybe be WAAAY faster

hushed cliff
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or ig base hand size may as well be 52 with how many jugglers youd get

granite gyro
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it all depends on that

dim coral
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cola strat is def better than temperance but it would still take years

latent peak
hushed cliff
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so any additional cards you can get before the setup would make it faster

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probably very negligibly

granite gyro
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oh wait i was thinking of cola drunkard which is multiplicative but also doesn't work lol

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because of the showman stuff

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yeah cola by itself is still like maybe 15 years min that's true

hushed cliff
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this is also all divided by how many hands you have right

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minus 1 bc you need to spend one hand with bpbs on dna

craggy lark
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just came back what's the best method as of now

latent peak
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WAIT

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what about gold cards guys

granite gyro
latent peak
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mime + gold cards

granite gyro
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actually no you can just sell every baron you get nvm

hushed cliff
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yeah

granite gyro
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so multiply by burglars too

latent peak
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DNA a bunch of gold cards

hushed cliff
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also certificate would make 1/4 red seals and youd dna a red seal

granite gyro
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Gold cards is basically +3 to the parking count

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they prob won't matter that much

hushed cliff
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so divide by like...1.75?

dim coral
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ugh this makes the math hard

granite gyro
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oh yeah red seals affect it multiplicatively though

dim coral
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it would be ((1/4*cert) + DNA) x parking

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it would be a minor increase

granite gyro
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so roughly (2*DNA + 1.25*Cert + Marble) x (Parking) x (Mime) x (Burglar)

latent peak
granite gyro
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is the calculation i think

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plus all the bp bs

dim coral
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why 2*DNA?

hushed cliff
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dna red seal

granite gyro
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you can duplicate a red seal

dim coral
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I think you always dupe mimes for scoring right

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you dupe cert on roundstart and DNA on hand 1

latent peak
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do red seals retrigger every time mime hits?

hushed cliff
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theres no merit to duping burglar on round start is there

dim coral
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no they dont

latent peak
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i thought they only do the retrigger once

hushed cliff
granite gyro
hushed cliff
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oh wait

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yeah red seals are just mime+1 ig

dim coral
latent peak
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yea lmao

dim coral
granite gyro
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unfortunate

latent peak
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red seals dont do much

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truly

hushed cliff
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mime+5/8

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even

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bc thats how many youd have

craggy lark
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im hella lost what's the strat to get the money

granite gyro
dim coral
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still parking

hushed cliff
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get a bunch of cards with certificate and dna, pareidolia oops mime parking

granite gyro
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ok so (DNA + Cert + Marble) x (Parking) x (Mime) x (3*Burglar)?

dim coral
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I figured out the equation without red seals

granite gyro
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forgot the 3 on burglar before

dim coral
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can I just ignore redseal plase

granite gyro
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yea red seal won't do much

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same as gold cards

dim coral
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its pretty negligible

latent peak
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wait what is 3*burglar

dim coral
hushed cliff
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spending all your hands

dim coral
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except with BPBS in the right place

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ok python time

latent peak
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burglar only works once tho right

hushed cliff
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no

latent peak
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you cant stack it

dim coral
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I always forget how to use rand in python

latent peak
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oh wait

granite gyro
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BPBS is just added to everything but parking right

subtle hemlock
latent peak
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nvm

craggy lark
dim coral
subtle hemlock
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random.random()

dim coral
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listen Im stupid

craggy lark
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just look it up if you need to

latent peak
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hmm, so how are you going to use all your hands without winning though

hushed cliff
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sell barons

dim coral
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sell baron

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you wont have any steel cards

granite gyro
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yea sell everything that gives you score

latent peak
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i see

granite gyro
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it'll be ante like 20 or something

hushed cliff
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ok am i crazy or is copying burglar better than copying certificate

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bc burglar copy is triple the value and its on a much more underrepresented side of the equation

dim coral
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wait you might be right?

latent peak
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yes

granite gyro
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oh ngl i forgot you couldn't copy both lmao

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yeah burglar better

latent peak
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cus it's another multiplication rather than just addition

dim coral
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yes youre right burg is better

latent peak
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only problem with burglar is the animation

hushed cliff
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should be negligible right

granite gyro
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shouldn't be slower than animations without it i think

hushed cliff
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since more hands means less needed cards

latent peak
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hmm true

dim coral
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youll only have like 10,000 burgs at most I think

latent peak
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oh actually true

granite gyro
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ig the animations do speed up over time but not enough to matter right

dim coral
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I should get shot in the head for writing it this bad

latent peak
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it might actually be faster with burglar strat

hushed cliff
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yeah 99% of the animation would be at max speed anyway

dim coral
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can you tell Im not actually a CS major

craggy lark
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if it gets the job done it's fine

granite gyro
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mime+bpbs!

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but otherwise it looks good

dim coral
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thank you!

craggy lark
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wait can't you just return the equation itself

latent peak
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what's bpbs

hushed cliff
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blueprint brainstorm

dim coral
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it makes my brain more happy

latent peak
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ah

dim coral
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negative is 0.003 correct?

latent peak
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wait so pareidolia makes stone cards count as face cards too?

dim coral
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ya

latent peak
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that's actually pretty interesting

craggy lark
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i mean stone card is a card

latent peak
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would make for some cool plasma builds

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stone card retriggers

latent peak
craggy lark
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i should probably get back to doing python lol

granite gyro
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0.003 is actually so unfortunate i never knew it was so low lmao

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gonna make the whole thing take 300 times longer

latent peak
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😭

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imma go to sleep, curious to see what the results are tomorrow

dim coral
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is generating random numbers slow

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fuck it Im too tired to optimize my code Im a python programmer

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I dont know what optimization is

craggy lark
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true

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just try to half ass it in C+ or something

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shouldn't be too hard to learn how to make functions and to operations

hushed cliff
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this would take less time if they changed it so that mr bones dies for real

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and cant show up again

craggy lark
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but i like ma bones :(

dim coral
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ok my generator is working but guys its NOT looking good

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in 1 million generations it made um. 203 useful jokers

hushed cliff
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huh

granite gyro
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😭 yeah negative chance and 150 joker pool is unfortunate

dim coral
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yeah the thing is there are SO MANY whiffs

granite gyro
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203 is actually like kinda close though isn't it

dim coral
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the fact that only one common is good is tough

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the random function or my math might be wrong but idk

hushed cliff
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i mean youd only get 3333 negatives per million

dim coral
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yes

hushed cliff
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and of those 70% have a 58/59 chance to be useless

granite gyro
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ok idk how many we need actually

dim coral
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heuristically things look correct

craggy lark
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i keep confusing e11 with undecillion

granite gyro
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i was gonna type we only need 2000 but maybe it's more like 20000 given that some categories have more commmonly appearing jokers than others

hushed cliff
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yeah i think there's going to be a very large number of reserved parkings

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compared to anything else

granite gyro
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yep

craggy lark
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im seeing my old python projects and found lots of funny stuff

hushed cliff
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by my math youd get 108 useful jokers per million on average

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which would make 203 probably a statistically significant difference

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i dont remember enough from ap stats to confirm

granite gyro
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i'm gonna try mathing out how many judgements you'd need now that i know the negative and rarity chances

hushed cliff
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the math in question if it needs double checking

dim coral
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7847049

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is the amount of judgments you would need to use

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approximately

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this is less than the temperance method by a lot right

hushed cliff
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you only need 1600 useful jokers?

dim coral
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you can hand check my math if you like

granite gyro
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😭

hushed cliff
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desmos sweep

dim coral
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143 BPBS, 262 Burglars, 253 Certs, 53 DNAs, 279 Marbles, 304 Mimes, 254 Parking,

granite gyro
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ig i remove the 3/1000 term from everything and just multiply it by 1000/3 at the end

dim coral
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ohhh my code has a bug

granite gyro
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only 254 parking?

hushed cliff
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yeah 254 parking is def wrong

dim coral
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yeah my code has a bug

granite gyro
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oh ic

dim coral
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13860455

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thats more like it

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1 million judgments

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ignore n and val

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but wait actually thats too many DNAs now hmm

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or maybe its not?

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no yeah I think its all up to code just bc the rare pool is so small interesting

hushed cliff
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yea rares are 5× rarer but 3× more likely to be the rare you want

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so that checks out

granite gyro
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Ok yeah my math is giving results in the ten millions too

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211268000 judgments

craggy lark
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we getting judged with this one

hushed cliff
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i'll get back with what i get when my computer decides to work

dim coral
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I did math manually and it checks out

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14 million loops is an improvement right?

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because temperance is 2e9 loops

granite gyro
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yeah definitely

dim coral
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this is approx 2e7 loops

granite gyro
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and cola strat is like 6e8 if you get a $300 tag

dim coral
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this strat is the truth

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dumbest thing Ive ever done istg

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I wonder if theres anything else we're missing tho

granite gyro
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oh yeah i just realized mine is wrong it should be lower

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i counted bpbs as one rare joker lol

dim coral
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I searched long and hard but I think we got all the useful stuff

granite gyro
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and also didn't multiply burger by 3

dim coral
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wait so doesnt this mean you could loop for only one year

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assuming a loop takes 2 seconds

granite gyro
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yeah i think so LOL

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ok which one of us wants to spend the next year doing this 😂

dim coral
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get TKAZ to do it

hushed cliff
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oh wait starting hand size isnt even negligible

dim coral
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they brought it up first :3

hushed cliff
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adding 52 to the number of cards brings it down to 12.4 mil

granite gyro
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True...

dim coral
granite gyro
hushed cliff
dim coral
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the problem is that loops would realistically take like 3 seconds

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bc you have to sell the joker if its non neg or actively bad (aka baron, troub, andy, etc)

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this would make a killer youtube video ngl

hushed cliff
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can also confirm that red seals are negligible

granite gyro
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it would be an even better one if someone actually did it tbh but we'd have to wait a whole year for that

dim coral
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that is not happening

granite gyro
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maybe with a TAS? lmao

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this whole discussion has genuinely made me want to look into how this game could be TAS'd now

hushed cliff
dim coral
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ok but how many judgments for naneinf money

hushed cliff
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dies

granite gyro
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😭

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what would happen if you tried to spend naneinf money LOL

dim coral
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the world explodes I think

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why am I even trying to run this on my shitty unoptimized python script

hushed cliff
dim coral
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thank you

granite gyro
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i guess the python script will be running for the next e70 or so years

dim coral
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its SUCH a slow script it didng even get close

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Im honestly surprised it takes so few jokers

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on live patch this strat would take so so so much longer

hushed cliff
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yea ive got that you get 422 parkings, 155 of each uncommon and 93 of each rare

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which is 1.3k jokers

dim coral
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yeah thats what my code spits out more or less

granite gyro
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ok so

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we should convince everyone that stone cards suck and marble should be common

dim coral
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LMAO

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youre cooking

hushed cliff
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that would lower it to 11.3 million

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would make it hard for juggler to keep up though

dim coral
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wait shit guys

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arent we kinda way off

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you need to play 900 hands

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there are not 900 cards

granite gyro
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fuck that makes the math way harder LMAO

dim coral
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listen Im a believer in heuristics

granite gyro
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if we gotta consider how many cards are in your hand after each play

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also some bpbs should be on cert now

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maybe all

dim coral
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yeah

hushed cliff
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probably all of them

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very weird optimization problem though

dim coral
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I think the heuristic solution is to put all the bps on cert and overshoot the money target

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surprisingly even with 1.5e11 target and all bps on certificate I get 18M judgments

hushed cliff
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im getting 14.2 mil

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with all on certificate

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but thats still almost 200 hands

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so itd be going down

dim coral
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yeah thats why I overshot the target

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the sorta nice thing is that each card is addative on the previous ones money wise and not multiplicative

granite gyro
hushed cliff
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15.75 mil to hit 1.5e11

dim coral
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my code overshoots

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I think some issue with the rand

hushed cliff
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this makes red seal non negligible

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lol

dim coral
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uuuuuuuugh

hushed cliff
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unless i got the red seal impact wrong

dim coral
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how non negligible

hushed cliff
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not very

dim coral
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ok makes sense

hushed cliff
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goes from 15.75 mil to 15.76 mil

dim coral
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you could play all the non red seals is nice

hushed cliff
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oh and the 6 hand size is even less negligible thats funny

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not having that brings it to 15.79 mil

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\left(5r+2u+52\right)\left(c\right)\left(2r+u+\frac{3r+\frac{2r+u}{4}}{5r+2u+52}\right)\left(3u+5\right)
cant send a full screenshot bc desmos moment but that's the equation i'm using if you copy paste it into desmos

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with these variables

craggy lark
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bruh what's all this meth for

granite gyro
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Expected number of Judgements needed to get scientific notation money

hushed cliff
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ok i stitched together a screenshot bc it was bothering me

craggy lark
hushed cliff
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i believe youd get the non heuristic answer by subtracting the triangle number of 3u+5 from the left part

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i dont know how to do that though

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or no thatd be a very negative number

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you subtract the quotient of 3u+5's triangle number and 3u+5 itself

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i think

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apparently dividing a number's triangle number by itself always gives you half of that number plus 0.5

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that's convenient

hushed cliff
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ok i believe this is the full formula

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and i'm getting 15.49 mil judgements needed on average

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oh just realized the mime part needs a +1 lol

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that lowers it to 15.47 mil

craggy lark
latent peak
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sheesh

craggy lark
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what if we do challenges, say inflation(not my idea)

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that might work

dim coral
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The sell card would have to sell for 6,500 to match the loop count of judgment parking

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It would be faster per loop tho which is non negligible, so heuristically maybe 3000 sell price per card is needed

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But yeah inflation could be faster, getting to a 10k sell price might be realistic

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The problem is how expensive rolling gets

craggy lark
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chaos dupe?

dim coral
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Does chaos stack?

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Oh wait doesn't matter duh

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This method would be faster yeah

craggy lark
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i mean buy and sell chaos lol

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it helps with both the buying and the reroll cost

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the only problem rn is that you'd either have to do this random seed or just mod the effect in which is possible

long zenith