#competition-math
1 messages · Page 62 of 1
thanks
hmm
hrm
gimme a sec i'm locked out
why can't i finish this proof
ugh igu i'm going to calc
What is the , means ?
That's just the separation between the two arguments to the gcd function.
"mob" is a typo for "mod".
Hello
lmao
O wait. isnt this liek mc nats 2021. I think i js drew lines and prayed that it worked for that one
it's ||11|| right?
no. in the official answer key it was || 15 ||
wait do they have to be straight lines?
ye.
thats the definition of a line
bro thought it was a plane🤣
what
thats conkadentally the max way to divide a plane with 4 lines
also 15=6c2
Miku is in the chat
very conkadental
🤯
but i js drew the 6 intersections of 4 lines and inscribed it in a bean
The answer is 15 bro
Source; my dreams told me so
I’m the new Rama human
Bruh
Ramajunan
hi
o shoot
Hallo
wsp
Nothing. Wbu friend?
anybody doing the stanford math tournament?
im a bit screwed as i do not know which 2 topics to choose 🙁
thats nice, me too friend
hello
That’s wonderful! Bye friend
bye!!
theyre out 6-8 weeks
how many q did u do
I can see the result pdf on the site
22
how
Its posted
holy shit
frick bro no honour roll
How many did u solve
a little birdy told me it was easy
Whyd they update it
Thats useless dawg
I would have gotten honour roll but there isnt any
Theres still the fryer
I know ill win school champ for that one
im good at formal proofs
will u do the galois contest
omg I dapped up Alex tsagaan today
hello
I just did a past hypathia contest and I only solved like 3/4 of the test but I've realized that life is genuinely all sunshine and rainbows
This is so awesome
I love math
nice
how do we find the max number of consecutive numbers for which another number can be written as their sums? for ex 3 = 1+2. 3 can be written as sum of 2 consecutive natural numbers at max?
like 6 = 1+2+3
7 = 3+4 at max 2 consecutive no ig.
$N=x+(x+1)+\cdots+(x+k-1)=\frac{k}{2}(2x+k-1) \implies 2N=k(2x+k-1)$, so $k \mid 2N$ and exactly one of $k$, $2N/k$ is odd ig. And size constraints too. But this isn’t something you’re going to get a super general answer for.
Civil Service Pigeon
in a problem its asked to find that for 2013, i made a quadratic but its just super messy and large
$K=\frac{\sqrt{4a^2-4a+16105}+1}{2a}$
Placidus
are they out?
i havent even checked csmc since last yr
omg lucky, id be so well rounded if i got proofs + probability and counting 😮💨
Ye
For future reference,
Should work tbh.
Lemme see
2N=(2)(3)(11)(61)
so every divisor k of 4026 satisfies the parity condition
Also k<sqrt(4026)
uhhh
65^2=4225 iirc
So k is bounded above by 61
Does 61 work
$(2)(3)(11)(61)=(61)(2x+60) \implies 66=2x+60 \implies x=3 \implies 3+4+\cdots+63=2013$
Civil Service Pigeon
,w 3+4+…+63
In the future, if you figure out something after asking, please update the post or delete it. This way people don’t waste time answering things unnecessarily. (the tldr for all of this is just being considerate - don’t think of all of these are a set of random rules)
I'll keep that in mind!
are there any math competitions I should be aware of trying to participate in my junior year? (i just learned about AMC and SMT but I'd like to know any other online competitions)
who else is writing the euclid on the 31st
yes and i got school 😭
? im sorry was it because of something i did?
i used to live there now i live in florida
like in ottawa
no dw about it
Bro put a hit out for you
Watch out man
What are some good sources to learn and practice for the Euclid? (Waterloo comp)
honestly i js do the past questions
cool
lol
I don’t think I did yesterday
good morning
I’m based in Uk and trying to get good at smc so I can get bmo round 1. Anyone know where to start. I’ve started reading MONT for number theory but I struggle to complete the problems and have to use AI to explain it to me. Anyone got any tips or advice
is jmo impressive to colleges
a lotta comp math going on i see
halloa
as an achievement only if you perform well, but in general colleges like to see that you are engaged in different kinds of activities, that you take initiative, that you care about the world around you, things like that. they want to know what is it about you they can learn from the things you do and like
if you can imbue a meaningful story behind anything you do that demonstrates your passion, drive, and curiosity, college can even be impressed with the way you pick up garbage
oh i did that in 6th grade
hallo friend!
hii!!
hru friend?
hi!
good, wbu friend
halloa
good. ty for asking friend
hi hru
Ya np friend
im good hru
cya friend!
LOL
miku enjoyer
that's good, I'm good as well, tyfa friend
ya anytime friend
LOLL
hmm
see ya friend
Hey
guys try this problems (2023 8th grade gauss) it was so fun i love these types of questions
js do a bucnha pythagorean thrm
on^2=63^2+87^2 = smth
yeah
so manky
pretty much
is it D
yes
W
oh!
What’s that
hi friend
hi
double Pythagorean
pythagorean to get NO then bh/2
no
EASY
fr
how could you possibly solve this
agh this looks... i assume binomial theorem, then polynomial division, then applying the power rule and arctan?...
or pascal it
useless ass tense
ikr
bro when did i even say ts
Im gonna get a 1 on ap french
mais non
ap french cannot be that bad
tu auras un 5
non
im so fried tmrw ita not even funny
je vais avoir un 4
but i learned binomial theorem in another class (our school doesn't teach binomial but i took integrated 2/3 when i was younger) so... i just used binomial and i think i pissed her off lmao
i never bothered to learn binomial
Binomial theorem?
It trivializes a bunch if amc
Like for example do 13^100 mod 100
i mean pascals is js a bit unoptimal with big numbers but...
bro im js happy my amc prac scores are going up
we went from a 60 to a 109.5 today✌️
yo i have 0 clue how you arrived to this
If u want a fun nt do putnam 2018 b3
Plug in binomial tgeorem
im noy touching putnam till i can get 150 on thr amc 10/12
It took me 6 minutes so shouldnt be too hard
yeah but like
im rryna play video games
probably not even then
U js need to know one thing and it trivializes
Bud
some cracked people never even get 150
there was slmeone who got a 150 like 3-4 years ago at my school
and neighebouring schools
Almost got a 150 on 12b but 2 sillies 🥀
rip
pov alex tsaagan
the binomial thorem states (10+3)^100=10^100+(100c1)310^99+...
its a bunch of terms that are divisible by 100
3-4 years ago 🥀 cooked
wait are you a junior senior or a cracked freshman
holy glaze
Neither
ORZ
im unc
im js srudying for amc10
sat is mifht
light*
but at the end it's ...+(100c99)3^99100+3^100, and the second to last term is div by 100, so its js 3^100 mod 100
sat math is like precalc so yeah
ya
ya
sat reading gonna cook me lwk
wait
rest is like alg2 lol
you should learn binomial theorem and maybe eulers totient trust
sophmore ain’t unc
alright
it is to yall
is ts covered in aops intermidiate nunber theory
im freshman yo
yeah
:orz:
exactly
ts is why i started studying
... good for you sigh
i got notes fone and everything
nah cus icl
im js gonna take the sat on sep
my mom didn't even tell me
until like
five days ago
she was signing me up for the sat to take june or sumn
yo whoch one do i do intermidiate number theory geometry or probability
that sucks
fr like
im a freshie do i rlly gotta worry abt ts yet
so guys
what are we thinking
:orz:
mm id say number theory
did you alr pay
its this weird testing center
don’t you have like finals in june
i think idk my mom signed up
yup 🥀 we have like finals week but idk when
you might be ftied
oh
why doesnt aops havr intermidiate nunber theory✌️
🥀 rip
wait what time does your school start
what the hell is zero period
uh
its optional
you get to take another class
but it starts an hour before school
We have like three schedules on a normal school week
rip
ik a few kids doing
ap human geo and ap comp sci
im doing ap comp sci
me too
we don’t have human geo
oh
i thought about human geo but i deided to do a foreign language as my other elective to get it doe with fast
but i need my arts credit
guys our cybersecurity teacher is going to the national guard
there will be no ap cyber at our school
oh
until he comes back from the army ✌
bro my cybersecurity teacher is my csp teacher and my geometry teacher
oop
wow
um
my csp teacher teaches like
three periods of ap csp
and three of like
mine js does two
orz
the work experience class
and then our cyber teacher does two periods of cyber, one period of advnaced cyber (second year), and three periods of internship (similar to the work experience class, since no one wanted to teach internship or work experience so..)
holy understaffed...
bro my schools basketball coach teaches history
my math teacher teaches... 5 periods of the math class i'm in... and theres another teacher who also teaches the same math class
thats um
oh
i feel priveliged now 🫰
and one of the football coaches teaches algebra 1
3 seniors goinf to mit this year✌️
damn
idk how many ppl at my school going to ivies
ik one cracked kid got into harvard or sumn
but idk if anyone else
we’ve had a lot go to yale
might look on the ig acc for like college admissions or smn
ts is what i do
dam
do you stalk it or smn
are there usamo qualifiers
oh xd i dont follow them, scrolling thru a bunch of posts from them now
what ecs are your school known for best
oop
k
but only one person goinf to mit cuz of sports
hm
:orz:
damn
bro
my twin sis has like the teacher that teaches like 5 periods of ap bio and like one of honors bio which shes in lol
top 3-4 in the state?
yo
yo
hello
yes
🥱
and i have the teacher that likes to go across the hall, abandon our class mid work time, and go gossip with the other teachers....
😭😭
bro i need a good ap bio teacher
there’s one that really good
she only teaches one class tho
the aphug and h econ teacher is one of the football coaches here
icl im not planning on taking ap bio
so✌️
in 11th grade im taking physics c
in 11th!?
me too
damn
im skipping 1 and 2
me2
imma self srudy those this summer
im taking phys 2 next year (11th)
oh idk my school js lets u do c
nice
yeah cus i heard app1 is algebra based and kinda boring
mm icic
cuz im tryna major in physics
im in ap phys 1 and i got a 0 on fma
the f=ma exam?
ye
i think our school if u wanna do appc in 11th u js gotta be in calc
imma take that bext year
or smn
3 kids from my school made usapho
yeah same
all freshman
i took calc and they recomended me for phys 2
oop
at my school
you dont even have to have calc done u js gotta be taking AB and ap physics c at the same time lol
seeya glgl
i got the 5 last year
idk we can only take honors chem next year so physics is a 10th grade me picking classes problem
rip
same at my school
honors chem is 9th and 10th at my school
well basically everyone is a sophomore
but if you bridge bio you can do it
there are sophomores in ap physics c here
and we do basically mech + e&m condensed into one year (mech for first two months e&m for the rest)
you dont have to take any normal physics or ap physics 1 first
you can go in if you test into it
damn
here we gotta do bio cus we aren't allowed to skip nothing
rah
i gotta take physics c in 11th
even tho ill be taking the pre-req (calc ab concurrently with physics c)
in 10th
:((
which is kinda silly imo but alr school counselor you win this time
igs ill js be extra prepared
for us we could prob take up to like..4?
possibly?
wahh lucky
how do you remember me haha
dyk his discord lol
holy scroll, but ye im in a server w him
ohh ic
lol
oh i know ur school now
bro this year's senior class in my school is like hella cracked
😭
wha
so productive im wasting my time scrolling up on discord
oop how locked in are they
thats the spirit
thats me everyday
uhh theres a girl tht got into harvard, brown, ucla, upenn, etc+
oop
multiple ppl that got into stanford
we have one kid in our senior class that got into harvard i think
and one into brown
and thats all ive heard (so far)
and carnegie mellon
lmaoo thats my reach guys
accepted to mit and stanford
kid that got into the jerome fisher thingy at upennw hich takes like 50 ppl or smth
welp my grade level is all stupid ppl
lol
if i do that im staying on the streets girl
.... trueeee
yes yes trust we will build up to the $5 for it
well my calculator is charging so
why is this giving me trauma from equilibrium
lmoa
except its uhh going up
*lmao
bro ti 84s are so hard to use
one day for hw i spent literally 7 hours straight from 9 pm to 4 am trying to figure out how to use one
🥀
then i spent two more hours using it for hw
so i missed the "get to know your calculator day"
the absolute value key
depressing
🥀 (still dk where the absolute value key is)
trust since i have desmos on the ap exam then like
ill just use that! frick this nspire glares
i dont even think ti 84 has an absolute value key
oop
it would be very sad if i did and i didnt figure that out in 7 hours
my friend got home at 1 am bc of robotics
💀
oop
um
wow
sounds...
.... i uh... i dont think ill be interested in joining robotics
thankfully most my classes are easy
comp sci is a lil hard, math is the only one that i have to study and do hw for a while and shi, every other class is pretty free
LMFAO
oh that reminds me
one of the seniors that got into stanford (also got into upenn and cmu) got like his results today
and he was just screaming during robotics
which attracted attention from everyone
lol
so there were like 20 ppl jumping up and down
damn
and he was like screaming into his phone too telling everyone
i lwk would have been like
in the restroom looking at college apps or smn cus what if you got rejected lol
mm icic
hi
si
oui
the prime factorisation of 2010 is 2*3*5*67
Result:
6.76767e+5
hmm
lmaoo ik smo who got into upenn this year asw
what is the smallest multiple of 67?
coming from a master of the art
lol
k now we restrict to negative
well wouldn’t it just like go down infinitely
and by smallest i mean closest to 0
Then 0
is 0 negative
...
wat about ts
This is meaningless
life

yeah
cool
I think the challenge there is mostly to convince yourself that the result is independent of how long the short vertical side is. Once you're sure of that, we can assume it is 0, and it's smooth sailing from there.
Let the length of the short vertical side be k. Then, the perimeter is 8 + 14 + (8+12-k) + 14 + 12 + k = 22 + 20 + 26 = 68
I suppose we could also just say that the sum of the two unlabeled vertical sides must be 8+12. If we go around the shape in clockwise direction, the labeled sides both go up and the unlabeled ones go down, and we end up where we started ...
nice this is what i did too
uh idk
hi zelix
hallo friend
how are you
yo
wsg
hru all
now yall are just acting like dumbasses
Stop speaking with images and use words
Jk
aw
good hbu
orzlord
Bro is not oppenheimer
i watched that movie on a plane
a flight attendant came up to me coincedentally when it got to the weird part
weird part?
if ykyk
the child shouldn't be watching this stuff
agastya goel?
throwing your friends under the bus
who


hi
halloa
i think a month after
still orz
u better get into imo
orz
but im 2
idc
aw
be like him
hmm
gold=orz
zelix=orz
frfr
oh my closet looks so tuff now
show
gc
ok
lucky
hmm
omg coucou
stop french bashing :cc
amc is way harder than pascal
I barely did 18 q
the difficulty starts immediately
as long as u qual
where do you do these
no i meant like practice questions
wdym
yeah ikr
cemc is much easier than other exams
fr
fr
hi
hi
fr
hi
hi friends
çava ma chérie
fcm 36
huh
i practiced the amc questions
which ones
no idea
they mixed up each of the years
cuz i tryna go to a math comp class and they need to test me
I show u
LOL i remember these
hmmm



how much of the 25 do u usually do
probably 25
wait how much time do u get
orz
i think 1hr15
Oh
yea
zelix=pro orzer
zelix=pro = orz
zelix=pro = orz DEF
ok jmo silver medalist
what
im imo platinum medalist
2 orzers here
bruh imo titanium medalist
pov imo einsteinium medalist
pov: imo bohrium medalist
imo terrence taoist
im gonna be so locked afyer i finish my quest of reading all of these aops book
imma be getting perfect scores on thr amc 10 and 12 you gotta believe

bruh i wish me too
bro you in jmo uour fonna get perfect
we believe
get perf on jmo
tank u
wt mentioned rah
LOL
my bro made 5 models of ts and its js sitting in his room taking up space making my mum upset cuz of dust
is ap calc hs or college math
its a hs course that deals with college level math
I feel like ap calc bc is gonna be so cooking next yr 😭
r u taking it next year? nah you got this trust trust js lock in 🙏
wow
theres no aps in college
in college it would be calc 1, 2, 3 (3 isn't covered by any ap exam) which is the three semesters of calculus
cool
yeah I hope so... thanks. you got this too!
thx! im taking ab next year
nice, glhf!
tyty
basically js calc 1 and 2
orz
halloa
u should change ur nickname to zelix=orz=42onjmo
Did anyone do usaco
zelix=lazy=0onjmo
andy xu
Do u go to gunn or smth
probably
I hesrd he got dqed
prolly cheated
dam
he smart tho but js dumb
how does that work bruh
like he can do math and coding but hsa like 0 social skills
lmao yeah
LOL
andy xu is my goat
lowk seems like me but on steroids 😭
LOLL
axusus?
why everyone know him
ts like 4 random people so far know this guy
ah...
Alex T?
no, why
oh
i heard smth abt axusus getting called fat in pe and losing all the fights he starts after that
🥀
idk
oooof
probably true LOL
LOL BAPC
Used to be friends
But i havent talked to him in a year or 2
not me
damn
how do u know ts guy
school
oh.
im crine
ye she in ma clas
Can someone help me on aime 1 2026 problem 10?
alr lemme se
i set the intersection between A'C' and BC to x and used power of a point
Let $\triangle ABC$ have side lengths $AB=13$, $BC=14$, and $CA=15$. Triangle $\triangle A'B'C'$ is obtained by rotating $\triangle ABC$ about its circumcenter so that $\overline{A'C'}$ is perpendicular to $\overline{BC}$, with $A'$ and $B$ not on the same side of line $B'C'$. Find the integer closest to the area of hexagon $AA'CC'BB'$. this
?
ƿhaᛁit
yeah
i found A' B' and C' and i was gonna do shoelace but apparently i got the wrong points
yeah im not getting this either this is the first time me seeing this typa problem
pls someone have a theorem on this that's provable with common sense and isn't something overly complucayed 😔
what have you tried
sine rule or cosine rule should work?
the top angle will become >90
they really don't
not in a simple way
or rather an overly complicatedly simple way

you can rigorously solve it with sine rule
issue is it's a 60 second question and since the answer is 7, you are doing that seven times and I am not doing that 7 times
how do i join math olympiad server
ty
draw an altitude AX, BAX = 15,
let the point where we stop P
find xap then xap +15> 90
oh i remember dis one
Where did you get this?
Js curious
how much math would you need to know to do comp math anyway
u need experience imo
