#competition-math
1 messages · Page 51 of 1
yeah i don’t understand where those come from
i mifht have to watch sum vids on ts
i’ve never learned the hyperbolic trig functions
hey guys
yo
greetings
Yo
yo csear
hellow
what r y’all up to
hello 
csar
Might get muted atp
i'm a new member
If we continue
i’m driving to skiing
skiing?
fuck ahh csp
what's that?
.
comp sci principles
skiing is fun - i've been a few times
okok
yea i rlly like it but i’ve gone like 10 times in the past week and im tried
tired
i have break so i wanna rest
what the hell
bro i’ve never gone oncr in my life✌️
really!
hi
i’m here 😔
!!!me soon
hi friend
hello i’m skiing soon
👍
hi have fun friend
Hi Patrick
last year i went to national science bowl
Ooh I joined that this year too!
is that myster da 400 elo I see
"2100"
me2 friend
guys
could someone help me on the amc 10 b 2025 problem uh
21
i don’t get jow to do ts
i’m thinking of a way but idk if it’s right
hmmm
i'll take a look at it
wait idk exactly how to do this either 😭
Can you like post the question here
So people don't have to find
i mean i'd advise u to draw a 3 by 3 grid, place a random color in the center, and just assume wlog what the possibilities for the other colors are
without loss of generality
used to narrow down math questions without affecting the validity of the solu
i reach a point where i have 3 squares remaining
so continue with cases, i guess?
like set a square to be a color and iterate on that
then choose another color that works, etc
but i don't really know
idk i did smth like that
sum srupid method
somehow got the answer
so ig it works
that's basically how i did it
i dtill lwk don’t get how yellow can’t be in the second box on the middle left
wait lowk doesnt it have to be a mult of 6?
cuz yellow would force the other 2 squares to not have any viable colors, so 0 cases for yellow
because then they would make them all multiples of 6
you right
i thoufht of this while solving
then forgot afterwards
amc10b was kinda hard
i did better on it than the a
i lwk bombed both tho
I sillied #2 bruhh thought it was 5-digit
he got like 7 he knows fs
wha get
he forgot the rest of his answers so he might’ve done better
on which one
b
oh
chill on me
it's fine
guys was aime ii harder or aime i
yo what’s the divisibility tesy for 11
alternating digits difference
is divisible by 11
explain
what do you mean by alternating digits difference
like lets say its 1573, then 1+7 = 8 and 5 + 3 = 8, so 8-8 = 0 which is cong. 0 (mod 11)
like in 121, 1+1-2=0. the digits in odd places minus digits in even places
oh
bro look at how short p13 was on aime ii
you should derive it yourself, it helps you find divisibility test for any number
If you able to do it for 11
normally i just multiply and sum digits until the divisibility test makes sense
lmao
oh lets go
i got this one right
do you think aime ii wa sharder or aime i
aime i was so sillyable
how would you go about doing 22
so, the MAXIMUM value of the sum has to be 63
huh
so do casework on how many digits are not 9, etc.
yep
it honestly is the easiest by far out of the last 5 this year
whatd stars and bars
yes
then just eliminate the bad cases
wait maximum sum is 63
but it says it’s 61 here
meaning that
at least one of the nunber isn’t 9?
eh? i have seen this question b4, like 6 months ago
is this amc10?
ah ok i thought i recognized the problem
more than 1 of the numbers canr be 9
can or cant
I remember doing this,
||sum odd place - sum even place = 11k||
||sum odd place + sum even place = 61||
you can get the bound for the first equation
wait yooo
thanks
wait for stars and bars, u need to remove the constraint
oh i can just set another variable
what is stars anr bars
u can js use modular arithmetic and combinatonrirs
wair wouldn’t stars and bars work exactly for this problem
it counts the number of ways to order indistinguishable items into distinguishable boxes
wpuld it be 11k or
shouldn’t it just be 0
ehh idk get the bound yourself
this question is so troll
highest sum odd place is 4*9
hmmm is it ||3/14||
bla bla
and then you havet o use genfunc
what i got
@vagrant dragon u shud try this
i’m so lost
what’s genfunc
this problem is ass
yo idk what i’m missing
9999999 what's the sum of digits
fr
in this number
ik that’s 63
a polynomial where the sum of coefficients is the ans
generating functions
you can....?
kinda yeah
just count number of 7 digit whose digits sum to 61
like
then count number of those who are divisible by 11
make a digit 7 or make 2 digits 8
yeah
yeah this problem ass
Don't even have to go through this step
wqit then what
yeah i get like 3 diff cases
35-26 whoch doesnt fit the rule
34-27 which don’t fit
and 45-25 which also don’t fit
i feel like i messed up
9+9+9+9-(9+8+8)=11
9+9+9+9-(9+9+7)=11
oh shit
happens
now do i js gotta see all possible permutations for the nunber
i believe 25 36 is the only case that works
so a1+a2+a3=25, and b1+b2+b3+b4=36 (b=9)
ci=9-ai
so c1+c2+c3=2
yields 6 cases
what the hell is c
just a substitution
stars and bars is hard with an upper bound sub
sigh imma learn thid stars and bars sruff ion get ts
holy yap what did I Just come back to
math
this is math discord after all
if you wanna feel good try amc10a 21-22 this year
super easy problems for placement
bro whatbthe hell is this probability problem
i don't like probability either 😔
bro why was problem 21 so easy and now ts is so weird
I dont like combo 🙁
I believe 22 and 25 are also not tha t bad
for amc10a
you don't have to know lmao
bro i was looking at problme 24 instead of 23
wait I can try to come up with a solution without stars and bars to show u
i did it your way
Hie
but i didn’t get the full solution
hm
are we still on #22
yk there are 2 cases
9+9+9+9-(9+8+8)=11
9+9+9+9-(9+9+7)=11
ok the cases are all 9 but one 7, all 9 but two 8s right?
try all the cases, ther are only 28 in total so it shouldnt be that hard
he's on 23 i think
you COULD count them like actually, but you can just count all 28 cases
its not that bad of a bash
23? of which test
just use simple combinatorics bruh
didnt you already q20 was deadass so dumb
20 was stupid
yeah
i got ts
i somehow mess up on the combinatorics part ofnit
9999997 has 7 permutations, 9999998 has 7C2 permutations
bro 21 was the 2nd easiest question of the test, 22 was THE easiest for amc10a
9999 has to be ood places
i have a love hate relationship with combinatorics
same
no
988 has 3C2 permutations
they were much more solvable
q20 was js coordbash
also i drew 5 separate diagrams for that question and noen of them were right 💀
so i have a personal saltiness factor
I kinda like combinatorics, since I can actually do them mentally
w/o doing algebra stuffs
i got ts
yo what
did u solve the 11 divisibility yet
almost yo you gotta believe✌️
i have an on-off relation with modular arithmetic
what does that even mean lmao
mines js off yo
sometimes i hate it, sometimes it's ok
doni plug 3 in for n??
yes??
mines js off yo
no idea what you meant
but combo is arguably worse
so
and algebra is lowk underhated
alg CANNOT be underrated
what now
underHATED
Combi is really cool
I hate algebra so much, I lowkey rely on wolfram alpha
q21 was copied
so was q22
q22 was literally an alcumus question
it's cool, but sometimes makes me frustrated
someone at my school got 127.5 and didnt know descartes
descartes was litearlly used in the year before too like..
combo gaslights you into getting the wrong solution even though you are 95% sure that you have the correct answer, it does that enough times that you are only 20% sure of the right answer 😡
EXACTLY
people should stop complaining
about descartes
i think i read up about it in like july 2024 or smth
decartes is cool 👍
yeah, ig
its fire
Yeah it is annoying
bc you get to avoid doing dumb shit
for some reason i just realized what you mean
no
LMFAO
🤯
is it ur first time aime qualing
skill issue
bro descartes is lowkey so useful
fibally i got the problem
what did u get
3/14
mkay
i kept messing up my combinatorics
stars and bars makes it more complex ngl
also, stars and bars is not that good, I mean it not versatile
hi 
Compare to generating f
yes

its my first year doing amcs
no?
only 28 numbers
and 6 that satisfy
you set ai and stuffs, I mean I can just count cases, 2 cases and it's only few of them, 3 or 4 so you can actually count it mentally
w/o doing math
use generating function

this is amc 10
it's a joke lmao
i don't think everyone knows what that is
amc10 sometimes has generating function tho
yes, i've seen that
but honestly the best strategy to solve a combo problem is to ignore it and move on 🙂
I unfortunetely made the mistake of solving 11 wrong
on amc10b
otherwise i couldve gotten HR 🙁
thats why I dont do combo anymore
that's actually a good move, it's pretty hard to spot pattern in combi problem because it's designed to, if you trained enough you can have good intuition for geo/algebra but ehhh combi is a whole different story
hihihi
hallo friend
hellor
hi
hi rina
hi gabriel
The person?
using my real name tho 😭
OOPS mb
Gabriel have u seen ur bio
Pretty sure it has ur name
LOLLLLLL
that's gone
what is Descartes…
a french philosopher
cuz theres a lot of mank in it
hi zelix
a circle theorem
he created a theorem
the kissing circles one
hi funny dog
cuz circles 🤤
⭕️
skirkle



🐧

Hai
hai
yeah how is one supposed to know that
I don’t even know what that is
there was no reason to know it
anyone who told you they knew it is a fucking liar
better to know more formulas
it’s some bs
genuinely it’s never popped up anywhere else
2004 amc12a p19
2017 amc12a p16
just because you can solve it with that doesn’t mean anything 😭
like this year it was genuinely the BEST way to solve it
to use descartes
but you should lwk learn it tho
which is just fucking stupid
not really
more stupid thing is the fact that it was directly copiied 💀
and the most basic application
bro no formula is completely useless
and i would argue it was the best way to solve those problems too
it's always gonna pop up somewhere
real
prob gonna pop up on 2026 jmo
are we serious
better safe than sorry 
crazy ragebait
ay, u never know
bro i've solved amc 10 questions with vector calc
u really can never know
doesn’t mean you should 😭
don’t overkill for no reason
but if it's easy, then i should do it
lowkey off topic but uh has anyone looked into the binomial theorem
and people learn all these useless theorems just to get like 6 on aime
it is 100% not the easiest way to solve an anc 10 problem
with vector calculus
like people think knowing niche olympiad geo theorem is cool when they can’t even qual olympiad 😭
do u know how easy it is to use calc in the amc problems where u can spot it?
it's always the easiest antiderivative or derivative 😭
literally name one example of an amc problem that was easiest with calc
other than this year 10a p9
bro
yea i’m learning it now
2018 AMC 10A Problems/Problem 21
uses curvature too
you can just use algebra 😭
ok in aime there are SOME cases where knowing calculus can help
sometimes people use calculus to evaluate sums for genfunc
but calc is fun 
i guess man
do whatever you want but i feel like sometimes people use calculus when they can just use algebra 😭
and it makes life harder
idk
depends on preference too
ok but this year i cant believe they made 10a p9 like that
i barely know anyone who did it without calc
(me)
orz
2025 amc 10a isn't that easily solved with calc
just find the num of solutions to a polynomial
but yeah, calc would help
do u know calculus
i thougth evyerone did
so u do know calculus
is anybody Taking BMMT?
so why don't u go over to #calculus and see if u can solve today's problem
what da problem
oh heck no
bru
im in 8th grade
if i got like money then id prob do it
what is ts
it only looks hard
im learning precalc
what is this used for?
math
ill give u 20 bucks
i'll wire transfer him a half-cent
i mean like what math
calculus
i have a 50 in my phone, so 50.01 MINIMUM
lol
lol
hell no
really basic calculus problem, can someone confirm i did it right please
tilting my head rn is suep rhard
,rccw
mb
yes, that's corrrect
thank you
just use ,rccw
rotate cup cup win?
sure
bro what
LOLL
name a problem
6+7=x. solve for y
ikr
HI
HI
HOW ARE YIY MAKING YIUR TEXT. BIG
-# LOL idek tbh

lol
phone
i js finsihed proving a random trig identity
feels so good when done
WHICH ONE
I MUST KNOW ALL THE TRIG IDENTITIES
Imma guess he proved arctangent addition
o shoot mb
Multiply top and bottom by tan?
no multiply top and bttom by cotx+cosx
tuff
(all from blank questions btw)
or simplify the denominator
u get like 20 something for all plank
blank
no u get 37.5
i answered some of them duh
oh lol
im like they dont have a common denominator so that would make it a bit messy and rubbish
i'm literally the orziest orzlord out there
eh, cosx/sinx-cosxsinx/sinx is easy to find
then flip the fraction , and it simplifies to the answer
thats like pretty manky
eeehhhhhhhh
im like it depends onthe person and their ways, (if theyre nlabbis or not)
mhm
did anyone qual aime
nah u get 42 on 12a
damn 42
did they increase it?
what are you taking
dam
o yea
they shouldve don that for amc10a 👍
they didnt get p25 wrong bruh
did yall do amc10 tho
yeah
ye
76.5/88.5
i did 10a 12b
anyone usajmo
the cutoffs aint come out yet
would be me
orz
what's an aime
fah my aime sold so bad
dw, i know
buh
bro i think one of my friends actually did it 😭
once u aime qual once it gets really consistent
wha
bruh me ):
and if u just put in some practice i dont think aime qual is too hard
we need a mopper to teach us the ways of the mop
im nevr mopping
0.00001%
bruh lucky
but still almost 0
like ur aime score?
yuh
💀
lolzeez
was the aime ii focused on combo
u can def get to aime next year
lowk yea
need to study
my friend in 8th qualed aime with 107 or smth
surprisingly just barely
even if i qual aime my index would probably be 105 at most 🙏🙏🙏
why tf was amc12a dhr 150

too mant cheaters
how many cheaters were there?
Yall know any moppers?
vincentwant orzorzorz
i cant say like exact number but a signifcant amount according to a charts of past scores
he commented on my post
aops?
Ik 4
They’re so orz
since i posted problems for a competition he helps with
real
ooh it's me
FOUND YA LOL
but with 3 extra letters
oh bruh

so not u
Crazy slow roll
yeah i'm not in hs, and bamo is for high schoolers, it seems
some of my friends
no, middle schoolers too
Smartest middle schooler I’ve seen
Tuff
hmmm
Sadly I know a bunch of ppl crazy at math and am still bums
relatable
ya
ANDY MOOOO
soorz
#L Ol
who dat
who is the most orz person you know
andy
probably evan chen for me
prolly csp or david shao
recognize yea
then like
TERRY TAOOOOO
who are the imo quals
dawg
or i guess knowing personally and recognizing as different categories?
is my friend
andy
im davin goob
shaolin
i lowk dont personally know very many orzlords lolol
alex tsagaan
5-15=0.34, 0.34+14=14.34
this guy?
O SHOOT
since when could autocorrect calculate
i did it 🥹
yea he goes to my school
hiya phone 🥀
phone only for games
bro uses androit
o shoot alex tsagaan the goat
saying hiya and fuiyoh and emotional damage lowk is not funny
fr?
only asian memes i know 😔
yea lol
what does he do
hes varsity wrestling
respect
HELLA pro
buh who sent me friend req

idk
wait
what
Hairy salute
67
,calc 6+7+41+6+7
Result:
67
67
SEE
guys do 2314 * 5 * 6
wait this i can do mentally
67420
wait
do 1123570 x 6
it's 69420?
,calc 1123570 * 6
Result:
6.74142e+6
Bro finally found out
,w 1123570 * 6
,calc d/dx (1/1+(ln(x))/pi^13
The following error occured while calculating:
Error: Parenthesis ) expected (char 24)
bro i was having an extended brain fart 😭
wolfram alpha doesn't like me
same
$\int_0^1\frac{x^4(1-x)^4}{1+x^2}\ \dd x$
nadat12
do 6x7x41x420-/1722
i will try
literally just partial fraction decomp
wait i solved it
nic
ts is too easy for a putnam p1
there's something called division
dunno if you've heard abt it...
but ts is more elegant 🥹🥹🥹
also apparently
$\int_0^1\frac{x^8(1-x)^8(25+816x^2)}{3164(1+x^2)}\ \dd x=\frac{355}{133}-\pi$
nadat12
i did not do this right
cooked^2
? wait how do u partial fractions this
Exactly what I’m saying
this is hurting my brain
rbo
just expand
not that hard
no it is
rbo
polynomial division
huuuuuuuhhhh
polynomial division and pfd rbo
Oh I was being extremely narrow minddd
yuh it is
I thought it was only pfd
ts so elegant
evals to 22/7 - pi
since integrand is always positive
22/7 > pi
Ok yeah the answer is cool I don’t want to polynomial division tho 🥀
womp womp
hmmm
Wassup
i made another question today have a go: 🙂
let’s assume k=0 so d/dx k dx = pi ^2 +k so we know pi is sociable by pi therefore it’s not a square
im so confused rn where are u pulling k and derrivatives from
or are u fw me i can't tell im sorry 😭
it’s so obviously off LOLL
hehjekskaisuejmwwmkxidur
bro idk man sometimes i see some random solutions that acc work
but ik enough that d/dx k dx = 0
those who 67 💀☠️
anyways sum of tring numers
,texsp ||$\frac{(p^p+1)(p^p+2)(p^p+3)-p(p+1)(p+2)}6$||
nadat12
claim: ts is never a square
proof: lowk idk
prob mod p and shi to see if quad residue
thats kinda close to the answer ig?
What that
,ti
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Bruh
you should have 22/7 - pi
looks right
its not 2/35 btw


