competition-math

[wooden steppe]

bouta turn

13 soon

[woeful seal]

They keep making the contest harder each year tho

[wooden steppe]

fr?

[woeful seal]

Ya

[wooden steppe]

cuz i thought the 2025 one was easier than the 2024 one

[woeful seal]

Nope

[wooden steppe]

i thought they based it on results

[woeful seal]

The 2024 was so ez but I was kinda slow back then

[wooden steppe]

.

[woeful seal]

Maybe

[wooden steppe]

per chance

[inland totem]

i see i see

wait ye u have a point

i was overthinking it 😅

[shy raptor]

Well then, we shall have to see you in a year, unfortunately ToS and all that

[inland totem]

can't u ask for his/her birthday in dms to shorten the ban time?

[shy raptor]

I don't particularly wish to DM someone under 13 personally they're banned for a year, they're welcome back after that of course, as we won't be at risk of losing our server

[inland totem]

ah, i see

and tbf, that does sound creepy

[shy raptor]

Yea, sounds like a way for me myself to end up banned

[native briar]

Somebody answer my calc doubt asap

[inland totem]

go to #calculus

[native briar]

I can't sleep without the soln

[inland totem]

what genre of math?

[native briar]

JEE is it's own genre.

[zinc ridge]

i hope not bc i was joking

im 13

and by the time a mod sees my message im already hypothetically 13

[thin pumice]

i found 2025 easier???

[inland totem]

well i looked through it, and it actually does, kinda

[thin pumice]

the first 20 r free marks

[inland totem]

basically

[inland totem]

are there other well-known uses of catalan numbers besides triangle counting in polygons and path counting?

[zinc ridge]

those are the ones ive heard of

[inland totem]

google gemini is failing me 😭

[snow thistle]

uhh

the genfunc for catalan numbers is used to simplify a lot of summations

i remember this one problem about penguins that bijects to catalan

and its like

not that easy

tosee why

[inland totem]

thank you

didn't know these could be solved with catalan 😅

[stuck tartan]

arml combo unit 💔

[swift imp]

cute!

penguinsss

[sturdy knoll]

what are catalan

[zinc ridge]

special numbers

[sturdy knoll]

what are they used for

and what numbers are the

[zinc ridge]

i dont jnow

[inland totem]

numbers in the form of 1/(n+1)*(2n n)

[devout rivet]

there are infinity ways if there are infinity penguins.

if I am right

idk

[zinc ridge]

ther

[inland totem]

what is this english? 😭

[zinc ridge]

frow

ret cun mor trac

[inland totem]

now that's pure english

[chrome egret]

Soo what going

[rugged solstice]

its n! minus the arrangements where they are ordered this way

lemme think

[snow thistle]

yessir

[snow thistle]

https://jeremymartinmath.github.io/courses/math724-F13/count-dyck.pdf

[snow thistle]

well yeah but dont do it that way

[rugged solstice]

why?

[snow thistle]

theres basically no way to solve it other than bijecting to catalan

[rugged solstice]

what's that

[snow thistle]

uhh read this

[lone venture]

i feel like ive seen this

what comp is it from?

[stuck tartan]

its not from a comp

[snow thistle]

ok some people say dyck paths like this but i think cuonting from 0,0 to n,n and staying under y= x is better

[stuck tartan]

i don't think

[snow thistle]

yeah its not

[lone venture]

oh

prob saw it somewhere else

[stuck tartan]

dyck path is such a cs ahh thing

[snow thistle]

hey ;people who are good at matholy are good at cs too

or usaco at least

[stuck tartan]

yeah ik

[snow thistle]

this couldve been a usaco problem if they modified it a bit

[stuck tartan]

usaco problems usually don't js have an explicit answer tho

[snow thistle]

yeah true

[stuck tartan]

unless its some bronze thing

[snow thistle]

man usaco is so jhard

im hardstuck

gold

how do people even promote to plat its soh ard

[granite zenith]

Do you know if there is any way to find solutions to the exercises? I guess the authors do not provide them.

[iron terrace]

i have Mathcounts chapters coming up what are some good last minute reviews that i should consider doing?

[inland totem]

that depends on ur strengths and weaknesses, but i'd say combinatorics and number theory

[zinc ridge]

look at some mock tests

and like analyze them and see what they have in common

[stark warren]

mathdash bro

it is lowk so useful

https://mathdash.com/home

[swift imp]

Bro math dash getting hella monetized

[strong adder]

Huge lvl manipulations from basic concepts of pre calculus

[devout rivet]

you are right, I think

[misty jacinth]

No way

[inland totem]

just turned 13 like a month ago

[idle harness]

are you asking this as a question?

i don't think this question is pre-u

[ivory ember]

a lot of indian people spam this question

it's an old jee question

if you've done calculus in high school, it's doable

if you haven't done calculus, then no

[idle harness]

doesn't this involve riemann sums and pi products

[ivory ember]

yes

take logs and it becomes a riemann sum after some algebra

[idle harness]

yeah, thats unexpectedly difficult for a pre-u question

ive never seen riemann sums being taught before uni wow

[ivory ember]

eh it all depends on what you've been exposed to

ex. the us covers riemann sums in ap calc

though ap calc is a very superficial course as a whole so

meh

I digress lol

[idle harness]

most courses i saw were just simple cases like numerical integration without going into the actual summation part

[inland totem]

looks like a nice problem

[idle harness]

nonetheless its fun to learn though, i wish i have these things in my curriculum

[inland totem]

way too lazy to work it out tho

[idle harness]

its a fun question

[inland totem]

yeah, from what i've heard, the us calc curriculum really doesn't go in depth on topics like limits, derivatives, and integrals.

[idle harness]

im not very sure about the us curriculum since i don't take it

[inland totem]

oooohhhh

i see

[idle harness]

im studying CIE A Levels curriculum

which is from UK

[inland totem]

nice

i'm self taught on dis stuff

[idle harness]

its genuinely kinda easy compared to many of the other curriculums around the world, and i feel that the maths syllabus is really lacking

[plucky solar]

has anyone doe ukmt imc

[sturdy knoll]

i solved this

(mostly i was too lazy to finish)

but i’m js curious on how others would solve

i wanna see if there’s a trick to the problem thay i maybe missed

[inland totem]

well how did u solve it?

[sturdy knoll]

uh

how do i explain

it was like

i split the integers and then the a and b and c

[inland totem]

did u use divisibility rules for 4 and 9?

[sturdy knoll]

to like smth smth + a x 100 for example

[sturdy knoll]

yeah

[inland totem]

hmmm

well that's how i did it

did it take u like a long time?

[sturdy knoll]

uhh

not really

i was multitasking while doing it

i didn’t fully solve

[inland totem]

okay well u have the right idea

[sturdy knoll]

i got like 45 cases i’m too lazy to get the other ones

[inland totem]

i'm pretty sure that's the best method

without getting into too scary territory

[sturdy knoll]

i don’t know how else you would solve so

i was kinda interested in alternative solutions

[inland totem]

hmmm

[sturdy knoll]

idk exacrly gow you did it

but there was two cases i found

[inland totem]

well, the second way i'd think to solve dis with modulos

[sturdy knoll]

a+b+c = 8

[inland totem]

but that is in line with the first method

[sturdy knoll]

and a+b+c = 20

idk the most efficient way to find those cases

i js minda

did sum random mayh in my head

to get those cases

[inland totem]

ok alr

[sturdy knoll]

i would rather like ro know a proper way than js doing smth random everytime

[inland totem]

i'll js explain a solution to u

[sturdy knoll]

sure

[inland totem]

so first, write out the numbers cleanly and set t=A+B+C, and then use the mod 4 and mod 9 divisibility rules. From there, combine conditions to find the num of solutions per t, and use pie to get ur ans

[sturdy knoll]

pie?

[sturdy knoll]

yo i kinda did sum like that

not the clean part

but i did like

the sum of the digits wirhout the coefficients being added was like

21

and each time you would change a b or c values by 1 you would essentially add 3 to that sum

[inland totem]

hmmm

smart

well it seems like u get the solu

[sturdy knoll]

yeah

[sturdy knoll]

idk it’s js the thing that clicked in my head

[fringe prism]

hi

[swift imp]

hi

[thorny tusk]

hi

[exotic ivy]

hi

[neon escarp]

hi

[whole harbor]

hi

[buoyant jolt]

hi

[charred crest]

hi

[inland totem]

hi

[stiff raft]

hi

[wraith vector]

eh you guys should stop

and spam hi in #chill

[swift imp]

hi

[inland totem]

alr

[wraith vector]

[swift imp]

https://tenor.com/view/hello-hi-hy-hey-gif-8520159980767013609

Anyways what’s yalls fav problems

Also I still suck at geo

[vague plover]

Geometry?

[swift imp]

Yes

[vague plover]

Lol

[vague plover]

Integrals I guess

[inland totem]

bro

i mean ur not wrong tho

[vague plover]

Yeah it is fun really ( even though I am not good at it)

[inland totem]

how good would u say u are?

[vague plover]

Well I try my best, but the daily calculus problems posted in the calculus channel always seems tough to me

[inland totem]

they're almost always by roy, ofc they're gonna be hard

he always has some fancy trick u need to use

[vague plover]

Today's one was easy though

Not by roy

[vague plover]

Yeahh

[swift imp]

isnt there a site for daily integrals

https://dailyintegral.com/

[inland totem]

yes, i go there daily

: )

[swift imp]

lol i have been slacking off so much

cuz ive been working thru https://davidaltizio.web.illinois.edu/CollectionOfGeometryProblems.pdf for a lil bit

[inland totem]

hmmm

geometry

cool

[vague plover]

Ewww

[swift imp]

wdym ew

[vague plover]

I hate geometry

Nightmares

[swift imp]

welcome to comp math where everything has geometry

fr

[vague plover]

Yes sadly 😔

[inland totem]

it's not terrible

imo, number theory is

and probability

[vague plover]

Probability is terrible yes

[jaunty ginkgo]

combinatorics and probability have to be the best topic, what are you talking about

[inland totem]

ur opinion

but i hate it, with a passion

probability can go die in a hole

[swift imp]

TRUEEEE

TRUEEEEE GIRL

[swift imp]

so can ur opinions

[inland totem]

🫥

[wraith vector]

Patrick was never seen again

[inland totem]

mhm

breakfast

[quick haven]

Does anyone know opened math competitions for international highschoolers

[inland totem]

IMO and IMYC?

[quick haven]

Closed

[inland totem]

oh

idk 😢

[thorny tusk]

comc?

[swift imp]

Your national Olympiad

[quick haven]

there isn't for me

[inland totem]

where do u reside?

[quick haven]

There is in the country I live in, but it is only for citizans not residents:(

[inland totem]

take the amc 8 or 10 then

you will have to wait a few months tho

o wait nvm

i'm dumb

[quick haven]

no worries

[swift imp]

Hi dumb

[thorny tusk]

lol

[sturdy knoll]

where do you find this minda of stuff

and do you got sites for reg amc

i suck at geometry😭✌️

[inland totem]

aops

they have all past amc tests bruh

[sturdy knoll]

wait

are the quesyions on the doc actual quesyions from contests

or similar questions

like questions of that level

[inland totem]

similar questions, i'd assume

[sturdy knoll]

shit wait

it’s exact

[sturdy knoll]

i’ve tried doing past papers

it helps

but not like an enormous amount

which is why i’m searching for a new resource

[inland totem]

oh ye, some from past amc tests

[sturdy knoll]

smth like a khan academy for amc aime and usamo

[inland totem]

ummmm

i really wouldn't recomment that

khan academy isn't in-depth enough for amc 10 and aime

[sturdy knoll]

not khan academy

a source like that

[inland totem]

aops books : )

[swift imp]

dont

just use aops

[sturdy knoll]

which has videos and explains stuff and gives problems

[swift imp]

there is not a curriculum

khan academy teaches curriculums

contests do not

[inland totem]

just buy the books

they're great

[sturdy knoll]

i have one

[inland totem]

which one?

[sturdy knoll]

arent there some free ones

obline

[inland totem]

umm

[sturdy knoll]

the first geometry obe

[inland totem]

that's be illegal, i'd assume

[inland totem]

ah okok

[sturdy knoll]

i swear there’s like mastering amc 10/12 or smth

on the aops website

[inland totem]

oh ye

it's a course

costs money i think

[sturdy knoll]

paid or free

bruhh

[inland totem]

aops is partially pay to win

it's still a good site tho

[sturdy knoll]

idk

i found them all

[sturdy knoll]

yeah

[zinc ridge]

read aops books

take classes if u need to

mathdash is the closest thing to khan academy for amc

[radiant jasper]

i did AOPS, it helps a lot

[inland totem]

gohar's guide too bruh

u disappointment to society

[stark warren]

damn bru

[stark warren]

fr

[inland totem]

someone call the moderators

this has to be against the rules or smth

can i call the mods for dis stuff?

[stark warren]

yea i think

[inland totem]

<@&268886789983436800>

help this guy is promoting gambling/crypto i think

same thing is going on in #linear-algebra 🥀

this guy needs to get a j*b

[stark warren]

ong

[sturdy knoll]

that’s for censoring

thanks*

it’s a trigger word for me

[fringe prism]

LOL

[swift imp]

job

[inland totem]

omg we're all so scared 🥀

[spice wraith]

a week until aime...

[inland totem]

good luck

[swift imp]

Gl girl slay

[thorny tusk]

oh sheeeeet

[undone blaze]

hemmm

[exotic ivy]

Ok

Solve this yall

6^x = x^18

Find x

Good luck

[spark scaffold]

≈-0.91311 and ≈1.11768

[exotic ivy]

wrong

[zinc ridge]

x=36

and some other negative value

wait so the two solutions the other guy stated and 36

[exotic ivy]

Yea

36 is correct

[zinc ridge]

so are jakes solutiona

[exotic ivy]

Yup

[inland totem]

lambert w

[sweet storm]

@orchid beacon

[orchid beacon]

What

Do I know you sorry?

[sweet storm]

do you 🤔 🤔 🤔

do you now 🤔

[orchid beacon]

Might be I mean we have 3 servers in common

Sorry for my dementia

[sweet storm]

nahh all good u kinda funi

[sweet storm]

hmmmmmmm 👀

[orchid beacon]

Wait do I actually know you like I'm sorry I dont remember 😭

[sweet storm]

yes u do

think think

[azure wadi]

Hi

[open girder]

Hallo

[gleaming cargo]

Is there a point in doing competition math if practice just seems to make you feel discouraged and down

Think I’m close to giving up

[inland totem]

don't give up

it's normal to feel frustrated while doing comp math

you just need to know that it gets much better with practice and deep thinking

[zinc ridge]

ive had so many of those times

never give up

you will come out on top

[gleaming cargo]

I joined an online contest club (run by a Uni) and it’s Tuesdays and Thursdays I just left the call early today because I got what we took up wrong and then other students kind of made me feel dumb. When I do my practice tests I score above average but being in an environment with the really smart people who score like top 10% is hard. Plus we’re working on like the questions on the last page

[zinc ridge]

being surrounded by really really smart people can discourage u

[inland totem]

well, ur competing with other top students. it's normal to feel discouraged when faced with more talented people : )

[zinc ridge]

treat it as a learning opportunity

[inland totem]

yes

[zinc ridge]

and if they make u feel uncomfortable then js quit the club

[inland totem]

if they do, they're just being assholes for the sake of being assholes

[gleaming cargo]

They’re not being assholes it’s just they seem to get it and are really casual about it

[inland totem]

it's a hypothetical

[gleaming cargo]

I’m just being real it can be hard being around people smarter than you especially when you’re used to being “the best” in smaller circles

[inland totem]

well, it's probably because they're more experienced and have solved more problems of this type before

not because they're inherently "better" then you

[gleaming cargo]

Yeah

I’ll get back on it soon enough I un uploaded all my work because lowkey embarrassed of it

Like the teacher said we can upload for feedback but I deleted it

[inland totem]

learn to take constructive criticism from ur teachers and peers

no one's gonna judge u for getting a problem wrong

[gleaming cargo]

I actually have to get over it

I got a 100 and 99 in my grade 12 math courses and when I got a 96 in physics I was not happy with it I’m kind of over the top perfectionist so it’s hard transitioning to getting everything wrong and sucking

Realizing you’re not as good as you thought

[inland totem]

don't be so harsh to urself

but ye, it's important to realize where u fall short and work on it : )

[gleaming cargo]

Yeah I’m going to take a break anyways and go spend some time with my brother thanks for talking though I’ll feel better later just feel down after that class because it defeated me

[inland totem]

np

: )

[tiny eagle]

Forgive me for saying this but you are NOT getting everything wrong if u have a 96 💀

I’m coasting through school with straight 94s

96 is a very good grade

[tame sandal]

wsppppppppppppppppppppp chatt

how was ur guyss amc 8 testss

[inland totem]

scores aren't out yet 😢

but i think i did quite well : )

[tame sandal]

sam

e

maybe i got a perfect score

[thorny tusk]

gud

[gritty eagle]

Guys what’s the best way to study for mathcounts cause I do AOPS but I don’t thinks it’s enough

[zinc ridge]

just run lots of practice testa

[pallid tundra]

get your hands on past state and nats tests and drill every last one of them (ok maybe not the very earliest ones but you get my drift)

[zinc ridge]

yeah early nat question suck

[echo jacinth]

https://www.xplusa.com/m/probfeed/1f966c5b-3543-43ee-adc0-ded20447264d/

[arctic ore]

this was an example in mont lol

use ||floor(p/q)=(p-r)/q where r is the remainder when p is divided by q||

[warped anvil]

Okay

What im thinking here is to ||drop the floors and subtract the remainders||

that's prob it right

shouldnt be too deep

[echo jacinth]

Sure. Should work. Try submitting the answer.

[warped anvil]

k

[iron terrace]

how to know whether im prepared for my mathcounts comp? i've been studying a lot but idk if im ready

im on the chapters round

[zinc ridge]

youre ready

[inland totem]

don't we use that floor function simplification that involves remainders?

[echo jacinth]

Not sure what you mean. But yes $\left\lfloor \dfrac{a}{b} \right\rfloor = \dfrac{a - a % b}{b} $.
If that is what you mean.

[inland totem]

yes

[echo jacinth]

wt... why is the latex not rendering?

,help

[gilded halo]

A brief description and guide on how to use me was sent to your DMs!
Please use ,list to see a list of all my commands, and ,help cmd to get detailed help on a command!

[radiant jasper]

$\left\lfloor \dfrac{a}{b} \right\rfloor = \dfrac{a - a % b}{b}$.

[gilded halo]

Hi

[radiant jasper]

\ before %

[inland totem]

sounds interesting...

[modest marten]

yes it is completely free

you can dm me for more details

we are hosting comps one time a week right now

but it will go up to 3 times

[inland totem]

mkay

[modest marten]

fill out the waitlist and we will keep you updated

[dapper hazel]

GUYS HAS ANYONE QUALIFIED RMO?

[misty jacinth]

can anyone know online courses for MO

to help build theory specifically @inland totem

if u know please dm me

[jaunty ginkgo]

<@&268886789983436800>

[velvet crane]

Oh lance was 1 millisecond faster

[rugged solstice]

ya'll have heard about C, C++, C#, now get ready for

C*

[inland totem]

C*+

[inland totem]

i've been summoned

[rugged solstice]

*C
(a pointer to C)

[inland totem]

cc+-

[surreal willow]

+C

[thin hinge]

I will try this year

[stuck tartan]

🤓 🤓

[warped anvil]

alr little nigesh

[inland totem]

we're all in the math discord, aren't we?

[spark scaffold]

,solve x^5-x^4=1

[snow thistle]

factors into (x^2-x+1)(x^3-x-1)

[spark scaffold]

Then can we can use quadratic formula and rational root

It need 5 solutions

[snow thistle]

uh for the quadratic the roots are just the negatives of the complex 3rd roots of unity

but the cubic probably isnt solvable without like cubic formula or smth

i dont think the roots are rational

[spark scaffold]

I assume is there complex solutions

[snow thistle]

yeah

the roots are very ugly

[spark scaffold]

4 complex solutions and one real solution

One real solutions is 1

[thin hinge]

You should just do hit and trial rather than solving for cubic equations

[spark scaffold]

Ok

[mighty pine]

you can use cardano's method if you want

it's just that it's really easy to mess up

[dapper hazel]

GUYS ANYONE DOING SUMAC??

[errant summit]

Can't we just use factorization

It's a quadratic equation afterall

[spark scaffold]

If it’s x^2+2x+1 then yes

[errant summit]

So we can't use factorization method on this one

[spark scaffold]

Yea

[errant summit]

use quadratic formula then

[spark scaffold]

Can factor of 1 add up to -1?

[errant summit]

Hmm

[spark scaffold]

In x^2-x+1

[errant summit]

...

[spark scaffold]

x2+x2=1 x1x2 =-1

[spark scaffold]

Yea

That’s the fastest way

[errant summit]

Ikr

Mybe it's easy

[spark scaffold]

True

[spark scaffold]

Their complex

So it’s the x^3 has one that is real solution

[errant summit]

Ooh

It's quite difficult to solve I guess

[rugged solstice]

C$\pm$

[gilded halo]

Tangent

[stark warren]

does anyone have free pdfs or sm to any of the books in these series cuz im broke asf 💔 ✌️ 🙏

[pallid tundra]

those books suck lmao

I worked through them once upon a time and they didn’t help much

[stark warren]

rlly?

what do u rec to make states in cali cuz its so competitive

[surreal willow]

Go to scribed and search up the aops books

[stark warren]

alrdy read em

[zinc ridge]

the mock tests suck

[zinc ridge]

oh wait yeah

cali has orz peiple

[pallid tundra]

grind past state and nats tests

from my understanding chapter has been nerfed into complete triviality in recent years

[zinc ridge]

not really

2025 state was on the easy end

[stark warren]

i tried but im lowk tryna understand concepts type shi

not js do problems

[zinc ridge]

its best to learn concepts like months in advance

[stark warren]

alr bet, shud i time travel ✌️

[inland totem]

yes

[zinc ridge]

yeah

[stark warren]

bet

[inland totem]

what r the lottery numbers in the future?

plz tell me 🙏

[zinc ridge]

wait wht grade ru in or do u prefer not to say

like ru competing next year?

[stark warren]

12 - 25 - 30 - 41 - 60 [18]

thank me later

[stark warren]

8th

[zinc ridge]

oh

wat concepts u tryna learn

[inland totem]

figjarsjhoperwgietahlk/aerhersh

yyyyeeessss

i'm rich

[stark warren]

idk what they are specifcaally

but like last five problems for chapter

those are like hard

[zinc ridge]

uh thats really broad

[inland totem]

amc?

[zinc ridge]

mathcount

theres a lot to learn

it honestly depends on your current state

[stark warren]

cali

oh wait do u mean like my comp level

[inland totem]

beach

[zinc ridge]

yeah

[stark warren]

um i got a 24 on last year chapter and a 28 on this year school

[tiny eagle]

When I took it I qualled for state through individual wild card entry

I only got it cuz I guessed the #30 on sprint right 😭

Lucky numbers

[soft vigil]

these books 🙏

u learn a lot of niche stuff

[zinc ridge]

nice

wait in total?

better not be sprint+2target

[stark warren]

obv not total bro

i aint that bad 💔 ✌️

[zinc ridge]

yea

[copper flicker]

yo guys, any good websites/tests(pdfs pls) and stuff for rmo/inmo

[severe eagle]

any books on geometry

harder than egmo

(preferably imo q2/3 difficulty)

[snow thistle]

maybe 107 geo

but at that point just do otis

[sturdy knoll]

yo

has angone done loke

arme

arml*

i think it’s called

it’s kinda niche isk

[severe eagle]

i have the material already

did some of it

im not in the class as i have a few comp marh clssses already

[severe eagle]

thanks for rec

[sturdy knoll]

anykone doing arml or has done it

lmk how you studied

ts seems hard ash

[fast atlas]

x,y,z>0

(Refinement of IMO2001/P2)

[sturdy knoll]

what problem is rhis✌️

oh

[sturdy knoll]

yo howd you study for arml

[fast atlas]

I tried normalizing x^2+y^2+z^2=2 and proved it for y≥1/2 (which is the more critical case)

Now i need to prove for y < 1/2

[fast atlas]

I'm not american, idk

[sturdy knoll]

oh

you liked my message so i thoufht you did

[snow thistle]

fair

[snow thistle]

yeah igu

[snow thistle]

yes

i mean its a decently big comp 😭

[sturdy knoll]

oh

people in my school don’t really know about it

[sturdy knoll]

yo howd you stidy for it

[snow thistle]

you can go with your state

[snow thistle]

uhh

i mean i dont really study for arml specifically

i just study for all computational in general

[sturdy knoll]

i find these questions quite difficult

[snow thistle]

i mean each contest does have certain kinds of questions they favor more

so if you wanted to study for arml specifically you could just look at the past problems

but its probably more worthwhile to just study computational problems as a whole, in my personal opinion i dont really find the arml problems to be all that great

[sturdy knoll]

how did you srudy

also whag grade are you in

[snow thistle]

id much rather do problems from hmmt and pumac and aime and other stuff

[snow thistle]

im a freshman

[snow thistle]

i mean

[sturdy knoll]

holy frap

crap*

me too

[snow thistle]

if you dont know all the important theory and stuff you should probably learn that first

[sturdy knoll]

what theory is this

[snow thistle]

either from taking classes or just reading some textbook

but you can probably gain all that knowledge just from doing problems

[snow thistle]

idk like important topics you should know

like

uhh

lemme think of something off the top of my head

do you know what chinese remainder theorem is

[sturdy knoll]

did you do good in arml?

[sturdy knoll]

nope

[snow thistle]

uhh last year i didnt qual tiebreaker lol

this year i hopefulyl will

i was off by 1 question last year

[sturdy knoll]

i’m not familiar with these comp math thibgs

i’m better at js plain old math they teach at school

[snow thistle]

yeah so you should read some textbooks first to study most of the important theorems

i would reccomend

[sturdy knoll]

do you have any suggestions

[snow thistle]

aops volume 1 and volume 2

[sturdy knoll]

i’m thinking i might do arml next year

not this year

[snow thistle]

if volume 1 is too easy i would just skip it and read volume 2

[sturdy knoll]

yo do you have a free method

to access these books

cuz they paid

[snow thistle]

you can prob just pirate it online

and find a pdf

lemme see if i can find one

[sturdy knoll]

i have vol 1

not 2 tho

[snow thistle]

https://www.scribd.com/document/882739248/AOPS-Vol-2

[sturdy knoll]

yo does the site have vol 1 too

my vol 1 kinda ahh

and does these books teach the theoroms i beed

like the chinese remainder one

[snow thistle]

https://www.scribd.com/document/491176848/Sandor-Lehoczky-Richard-Rusczyk-The-Art-of-Problem-Solving-Vol-1-The-Basics-2006-AoPS-Incorporated-compressed-pdf

[snow thistle]

um not gonna lie i dont remmeber cause i read it a long time ago but im assuming yes 😭

[snow thistle]

id say probably

i would just go through the books and then start doing problems from competitions

[thin pumice]

pascal: how hard is it? what would be considered good if u can get full marks on amc8???

[inland totem]

triangle?

or theorem?

[thin pumice]

contest

[inland totem]

ohhhhh

well ,the pascal tests are slightly more computational

and imo, is generally easier

[sturdy knoll]

what’s the theorem

bro i’m so behind on all these theorems

[inland totem]

(n-1 k-1)+(n-1 k)=(n k) (wait mb it's actually pascal's identity)

[thin pumice]

UHHH NO???

[thin pumice]

the triabgle?

https://cemc.uwaterloo.ca/resources/past-contests, they look easy tbh, but not the last 5

[inland totem]

hmmm

[long garden]

back in 7th grade 💀

[sturdy knoll]

no ik the triangle

[sturdy knoll]

oh

howd you do

[sturdy knoll]

is this js a method to break down combanations of larger nunbers

[sturdy knoll]

idk i found it easier

i only did a few problems

i didn’t know it’s section based

so i did a couple random ones

and the very last one

[inland totem]

sometimes

[sturdy knoll]

how else could do you use this

[inland totem]

i've seen fancy telescoping, but that's rare

simplifying binomial coefficients is another one

[long garden]

no comment 💀

[sturdy knoll]

nah i find the problems hsr

hard*

if i took it now i’d prolly get a 0

[swift imp]

In ur head

[languid wasp]

Guys anyone tried MONT?

How was it?

[manic dome]

Any books/roadmap that can make me good at math from beginner to international olympiad level?

[fast atlas]

Well from a beginner to IMO level is quite a big ask

[arctic ore]

yet every IMOer does it

and surely they dont use just one book do they

[severe eagle]

:chad:

[severe eagle]

its not in depth enough

[languid wasp]

Oh then what would you suggest me?

[arctic ore]

qhar??

[severe eagle]

of course it cant be very versatile, its very broad book

[severe eagle]

idk man

[severe eagle]

i used wrong wording maybe

[arctic ore]

its an olympiad book gng

[languid wasp]

Bruh

[arctic ore]

you arent learning uni nt

[arctic ore]

alternatives are just ntcp

number theory concepts and problems by titu andreescu

personally mont is a nice experience

[severe eagle]

the book is too short imo

[severe eagle]

mont is good

i just feel there isn't enough content

[languid wasp]

You reach putnam questions too quickly 💀

[arctic ore]

for that you need to learn undergrad nt

[languid wasp]

💀

[languid wasp]

Like in gcd section ig

[arctic ore]

yea problems in every oly book are typically in increasing order

dont expect to solve all problems

[languid wasp]

Alrr :)

[arctic ore]

just try to have fun ig

[arctic ore]

i dont recall any putnam problems in that section

do you mean that one bezouts problem

[severe eagle]

good luck @languid wasp

[languid wasp]

Yea

[languid wasp]

Tyy

[severe eagle]

early putnam isnt that hard

[languid wasp]

Alr i have to eat rn my mother's calling will be back in a secc

[arctic ore]

uh this is around ||d1-ish||

[severe eagle]

dont treat the question diffuculty by looking at the contest

[arctic ore]

yea

^^

even some ctst problems arent up to standard

saw a d6 ctst when avg difficulty is like d9

also if you dont do harder problems you arent gonna get better

¯_(ツ)_/¯

[severe eagle]

yea

[arctic ore]

meow

[severe eagle]

meow

[arctic ore]

what the delete

[severe eagle]

my wifi sent meow twice

when i deleted one meow it deleted both

[languid wasp]

Iam still naïve although I won't admit that question as hard as it really was simple

[languid wasp]

Oh

[languid wasp]

D1?

[arctic ore]

join discord.gg/mods

I pinged you in bot-spam

see the message above me

[languid wasp]

Donee

[manic dome]

Yea I don't care, we have to endure pain to reach a huge ambition

[manic dome]

But, imo, I'm not really a beginner or idk, I've been getting straight A in 11th grade math (I'm in the 2nd semester of 11th grade). So, I might know some things even though I have a lot to learn

Ik, that's why I said I have a lot to learn

Do you have any books? Like a clear and ordered journey of books?

[severe eagle]

if im going to be honest with you

11th grade is very late to do comp math

start doing comp math*

look at evan chen handouts if you need

or books like egmo

[manic dome]

Goddamn 🥀💔 what grade was I supposed to start at?

[manic dome]

Any links?

[tribal anchor]

Probably not

[severe eagle]

8

[tribal anchor]

Maybe the best time to have started was some time ago, but the second best is now

[severe eagle]

-# (thats me)

[manic dome]

Better late than never huh?

[severe eagle]

yes

[tribal anchor]

Exactly

[severe eagle]

but im saying moderate your expectations

of course try your best

[severe eagle]

evanchen.cc

[manic dome]

Sure

[severe eagle]

i think

[severe eagle]

[manic dome]

Btw your youtube channel is based 🧃

[snow thistle]

anyone applying to yau or is an alum of yau ?

[severe eagle]

[zinc ridge]

i started in sixth:P

[manic dome]

If only I weren't playing too much roblox and had current ambitions 🥀💔

[manic dome]

Did you manage to get into a national scale comp? At some point

[zinc ridge]

im in eighth grade rn and i got into aime

[manic dome]

You went through AMC first?

[zinc ridge]

amc 10 yeah

[zinc ridge]

i did amc 8 too but its not that relevant

[manic dome]

Lucky you had ambitions in early age

[zinc ridge]

why does your bio say ur part of an online terrorist organization

[manic dome]

It's a joke

Not real

[zinc ridge]

oh u changed it to that

[manic dome]

Yeah

[zinc ridge]

i thought discord flagged u

[manic dome]

Nah

[zinc ridge]

but i was suspicious bc of the copy and paste information symbol

[manic dome]

Wish I had my current thinking process at an earlier age, was way too childish

[severe eagle]

i feel that as well

when i was younger i should have done more things

instead of playing

[zinc ridge]

dont feel that way

appreciate your childhood

[severe eagle]

i should have been doing math

if im ruining my childhood now

might as well have ruined it before

[midnight ibex]

yall know what is a 2+7?

[drifting mural]

GPT keeps giving me wrong answers 🙏

[drifting mural]

can someone plz help

[radiant jasper]

looks wierd if first two terms were 1/2 it would be

,, \sum_{i=1}^\infty\frac i {2^i}

[gilded halo]

firestepper

[sleek helm]

I would use your sequence and just treat the 1,1 as a vestigial tail

[sinful ermine]

ok guys i thought of doing this either by factorizing it and proving all terms greater than 1 so not prime but i factorized till
,, (n^4 + 1)(n+1) - n

plz help

[pliant snow]

Try factoring another way

n^5+n^4+n^3-n^3+1

[sinful ermine]

ok

iamma try

tq

i reached n^3(n^2 + n + 1) + (n+1)(n^2 + n -1)

[pliant snow]

What's x^3-1

[sinful ermine]

(x+1)(x2 -x -1)

wait

+1

[pliant snow]

,w factor x^3-1

[sinful ermine]

nah wtf

[gilded halo]

Results provided by WolframAlpha

Click here to refine your query online
Upgrade to WolframAlpha Pro!

Requested by huntress_tld

[sinful ermine]

oh shi

[pliant snow]

Here you go

[sinful ermine]

it will be 1 cube - x cube right

[pliant snow]

Wydm

[sinful ermine]

wait

[pliant snow]

Ah yes

[sinful ermine]

wow

i factored it

(n^2+n+1)(n^3 -n+1)

right

one term always greater than 1 and the other is 1 only for n=1 and always greater than 1 for any other +ve so hence proved?

,w expand (n^2+n+1)(n^3 -n+1)

[gilded halo]

Results provided by WolframAlpha

Click here to refine your query online
Upgrade to WolframAlpha Pro!

Requested by shadosant

[sinful ermine]

hehe

[pliant snow]

[sinful ermine]

i found out that p can't end with 3 and that it's a prime itself ofc

help

[pliant snow]

Consider p=i mod 5 maybe

[sinful ermine]

not taught yet idk what that is

for now ive skipped it

[azure wadi]

if p ends in a certain digit, n, then by modular arithmetic we can see if n is odd, in some order the units digits are 1,3,5,7,9. We need 5 for be the prime, so only true when p=5 or p+2=5. If p=3, is doesnt work so only p=5

I wont explain modular arithmetic here

[inland totem]

and a mcflurry

[opaque sleet]

is it A?

[drifting mural]

I put A but it’s D

Lowk could be written wrong idk

[opaque sleet]

i mean

i got 3 cus of AGP progression with the first 2 one's

if that explanation makes sense

[drifting mural]

Lowk didn’t know that was a thing 😔

All I knew was the a1/1-r for the sum of a geometric sequence

And I bsd by way into 3

[opaque sleet]

yeee but u can only do that after removing the arithmatic progression present in the numerator

[opaque sleet]

arithmetico geometric progression

[narrow swan]

Just treat it as i/2^i and then subtract by 1 at the end

[opaque sleet]

that is AGP only gang

[narrow swan]

Yeah what about it?

[opaque sleet]

thats whut i said

so

u get 3 only with that

but answer given 4

[narrow swan]

I think you forgot to subtract 1

Ahh right

It's probably a misprint then

[opaque sleet]

i did

and then

ye

[drifting mural]

That’s what I was starting to think

[opaque sleet]

shits gay af

[narrow swan]

True

[drifting mural]

Ong 😭

[pliant snow]

Notice that if p is 5k+1 then p+14 would divisible by 5

If 5k+2 then p+8 would divisible by 5

...

a = i mod (k) basically mean a=b•m+i for some integer b

[sinful ermine]

Wow. I never thought of that. Tq

[pliant snow]

Yeah that's pretty hard to see

[sinful ermine]

so p = 5 is the only sol. right

[pliant snow]

Yea, should be

[sinful ermine]

p is a prime > 6 we have to prove 24|(p^2-1)

p is in 6q+1/6q-1 format where q >=1

therefore we have to prove 24|(6q+/-1)^2 -1 -> 36q^2 +/- 12q -> 12q(3q +/- 1)
notice the expression is always divisible by 12 so we only have to prove that its divisible by 2

To prove 2|q(3q+/-1) the expression is true for minimal case q = 1

case 1 : q is even
then 2 will divide q
case 2: q is odd
3 times odd is odd and adding/subtracting 1 will give an even number which will be divisible by 2

[sinful ermine]

is there any kind of error in this solution??

pls help

[lavish epoch]

no mathematical error
But there is one logical gap and one wording issue that you should fix to make it a proper proof.

[sinful ermine]

what is it

[lavish epoch]

well, basically.

remove this line

you don’t need this sentence at all.
Your case analysis (even/odd) already proves the result fully.

[sinful ermine]

oh yes ur right that case is already covered in "q is odd" mb

tq

[lavish epoch]

your welcome xD

[spare harbor]

quick question: is it practical to know trig for aime

you dont need it is how i understand it, but is it worth putting the time in or nah

[inland totem]

well ofc

trig is very useful in contest maths

especially the fancy formulas

[spare harbor]

are the laws of sin, cos, and tan good enough 🙏 (and double angle/half angle identities)

[zinc ridge]

wat is law of tangent

idk u might need to know area=1/2absin(c)

otherwise u should be good

aime doesn't usually dive deep into trig

[snow thistle]

for like the first 7 questions probably

but you should know angle sum and difference, sum to product, product to sum,

a lot of aime geo questions are easier with trig or you basically have to you use trig

[spare harbor]

hopefully, im in 8th grade and i dont do a lot of trig

[snow thistle]

like its not just about memorizing the formulas, you still need to be able to know how to recognize when to use trig

and how to use it

[spare harbor]

alright thanks for the tips :)

[snow thistle]

yup np gl tomorrow

[inland totem]

law of tangent - not as useful as sin or cos

[inland totem]

and to know why they work

[inland totem]

maybe not useful, but sin(3x) and sin(x/3) formulas helped me once or twice - probably not important enough to explicitly memorize them tho

[zinc ridge]

me too

[viral sierra]

And also, what calc formulae may be necessary to memorize.

For aime

because i know some basics (that have helped bash more effectively) but i dont know to what extent i should learn it

[zinc ridge]

im so fried

for aime

wtv ill js do my best and shoot for 5+

[thorny tusk]

samee

[long garden]

we are fried for tomorrow

[clever kernel]

\sin (9)+\cos (9)+\tan (9)+9\cdot 9=1.013371617829385\times 10^2 = 3.125 + 1.013371617829385e

80.0487=80.0487

[formal geode]

Do we have Olympiad winners in server

[viral sierra]

Same

[warped anvil]

Gl for aime

[open belfry]

Idk at least Im not😭

[mighty pine]

it's an alternative to the other two

though so far what you can solve with the law of tangents, you can solve with the law of sines or cosines

there's also a law of cotangents

though it's more niche than the law of tangents

[pliant tartan]

@mighty pine is pie is your fav math symbol?

[mighty pine]

i don't have one

[pliant tartan]

oh

[viral sierra]

Thanks. The luck is necessary

[worn iron]

Hey

[ruby egret]

is it ok if i get a 1 on aime

[swift imp]

Yeah

[ruby egret]

i did 0 practice mocks/problems

😭

[swift imp]

It’s ok

If it’s ur first time u always have time

[ruby egret]

yea its my first time

what am i supposed to do for 3 hours 😭

[swift imp]

Uh

Try problems

First5 should be doable if u made aime tbh

From amc

[ruby egret]

i can barely do the 2nd one

[swift imp]

Uh Ar you texting in the comp

😭

[ruby egret]

no im abt to in an hr

i mean i took a look at last yrs aime

and barely did the 2nd one

[swift imp]

You have the hours

Three

Look thru the probs find one that looks fun and do it tbh

[ruby egret]

Alr

Js taking it for fun atp

[swift imp]

I lokey just didn’t show up to mine

Last year

[ruby egret]

I didn’t want to but my parents forced me lol

[inland totem]

if i can get 1, i'll be proud of myself

[zinc ridge]

that was pretty grueling

[thorny tusk]

agh i got cooked on aime

[inland totem]

i didn't take it - missed deadline to sign up for amc 10 and 12, smhow

[inland totem]

i'm sure u did well : )

[thorny tusk]

i did 9 problems

but ik 1 was wrong

[zinc ridge]

gotta wait until 5:30 to talk abt it

[thorny tusk]

calc error

oop

ohk

[runic trellis]

yea

[snow thistle]

what the fuck was that

[zinc ridge]

😭

i made three sillies

[long garden]

MLFAO I KNOW