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k a April Highlights and 2025 AoPS Online Class Information
jlacosta   0
Apr 2, 2025
Spring is in full swing and summer is right around the corner, what are your plans? At AoPS Online our schedule has new classes starting now through July, so be sure to keep your skills sharp and be prepared for the Fall school year! Check out the schedule of upcoming classes below.

WOOT early bird pricing is in effect, don’t miss out! If you took MathWOOT Level 2 last year, no worries, it is all new problems this year! Our Worldwide Online Olympiad Training program is for high school level competitors. AoPS designed these courses to help our top students get the deep focus they need to succeed in their specific competition goals. Check out the details at this link for all our WOOT programs in math, computer science, chemistry, and physics.

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[*]April 22nd (Webinar), 4:00pm PT/7:00pm ET, Competitive Programming at AoPS (USACO).[/list]
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0 replies
jlacosta
Apr 2, 2025
0 replies
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k i Adding contests to the Contest Collections
dcouchman   1
N Apr 5, 2023 by v_Enhance
Want to help AoPS remain a valuable Olympiad resource? Help us add contests to AoPS's Contest Collections.

Find instructions and a list of contests to add here: https://artofproblemsolving.com/community/c40244h1064480_contests_to_add
1 reply
dcouchman
Sep 9, 2019
v_Enhance
Apr 5, 2023
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k i Zero tolerance
ZetaX   49
N May 4, 2019 by NoDealsHere
Source: Use your common sense! (enough is enough)
Some users don't want to learn, some other simply ignore advises.
But please follow the following guideline:


To make it short: ALWAYS USE YOUR COMMON SENSE IF POSTING!
If you don't have common sense, don't post.


More specifically:

For new threads:


a) Good, meaningful title:
The title has to say what the problem is about in best way possible.
If that title occured already, it's definitely bad. And contest names aren't good either.
That's in fact a requirement for being able to search old problems.

Examples:
Bad titles:
- "Hard"/"Medium"/"Easy" (if you find it so cool how hard/easy it is, tell it in the post and use a title that tells us the problem)
- "Number Theory" (hey guy, guess why this forum's named that way¿ and is it the only such problem on earth¿)
- "Fibonacci" (there are millions of Fibonacci problems out there, all posted and named the same...)
- "Chinese TST 2003" (does this say anything about the problem¿)
Good titles:
- "On divisors of a³+2b³+4c³-6abc"
- "Number of solutions to x²+y²=6z²"
- "Fibonacci numbers are never squares"


b) Use search function:
Before posting a "new" problem spend at least two, better five, minutes to look if this problem was posted before. If it was, don't repost it. If you have anything important to say on topic, post it in one of the older threads.
If the thread is locked cause of this, use search function.

Update (by Amir Hossein). The best way to search for two keywords in AoPS is to input
[code]+"first keyword" +"second keyword"[/code]
so that any post containing both strings "first word" and "second form".


c) Good problem statement:
Some recent really bad post was:
[quote]$lim_{n\to 1}^{+\infty}\frac{1}{n}-lnn$[/quote]
It contains no question and no answer.
If you do this, too, you are on the best way to get your thread deleted. Write everything clearly, define where your variables come from (and define the "natural" numbers if used). Additionally read your post at least twice before submitting. After you sent it, read it again and use the Edit-Button if necessary to correct errors.


For answers to already existing threads:


d) Of any interest and with content:
Don't post things that are more trivial than completely obvious. For example, if the question is to solve $x^{3}+y^{3}=z^{3}$, do not answer with "$x=y=z=0$ is a solution" only. Either you post any kind of proof or at least something unexpected (like "$x=1337, y=481, z=42$ is the smallest solution). Someone that does not see that $x=y=z=0$ is a solution of the above without your post is completely wrong here, this is an IMO-level forum.
Similar, posting "I have solved this problem" but not posting anything else is not welcome; it even looks that you just want to show off what a genius you are.

e) Well written and checked answers:
Like c) for new threads, check your solutions at least twice for mistakes. And after sending, read it again and use the Edit-Button if necessary to correct errors.



To repeat it: ALWAYS USE YOUR COMMON SENSE IF POSTING!


Everything definitely out of range of common sense will be locked or deleted (exept for new users having less than about 42 posts, they are newbies and need/get some time to learn).

The above rules will be applied from next monday (5. march of 2007).
Feel free to discuss on this here.
49 replies
ZetaX
Feb 27, 2007
NoDealsHere
May 4, 2019
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Number of lucky numbers
NO_SQUARES   0
12 minutes ago
Source: Kvant 2025 no. 2 M2830
There are coins in denominations of $a$ and $b$ doubloons, where $a$ and $b$ are given mutually prime natural numbers, with $a < b < 100$. A non-negative integer $n$ is called lucky if the sum in $n$ doubloons can be scored with using no more than $1000$ coins. Find the number of lucky numbers.
From the folklore
0 replies
NO_SQUARES
12 minutes ago
0 replies
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Woaah a lot of external tangents
egxa   3
N an hour ago by NO_SQUARES
Source: All Russian 2025 11.7
A quadrilateral \( ABCD \) with no parallel sides is inscribed in a circle \( \Omega \). Circles \( \omega_a, \omega_b, \omega_c, \omega_d \) are inscribed in triangles \( DAB, ABC, BCD, CDA \), respectively. Common external tangents are drawn between \( \omega_a \) and \( \omega_b \), \( \omega_b \) and \( \omega_c \), \( \omega_c \) and \( \omega_d \), and \( \omega_d \) and \( \omega_a \), not containing any sides of quadrilateral \( ABCD \). A quadrilateral whose consecutive sides lie on these four lines is inscribed in a circle \( \Gamma \). Prove that the lines joining the centers of \( \omega_a \) and \( \omega_c \), \( \omega_b \) and \( \omega_d \), and the centers of \( \Omega \) and \( \Gamma \) all intersect at one point.
3 replies
egxa
Apr 18, 2025
NO_SQUARES
an hour ago
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2023 Hong Kong TST 3 (CHKMO) Problem 4
PikaNiko   3
N an hour ago by lightsynth123
Source: 2023 Hong Kong TST 3 (CHKMO)
Let $ABCD$ be a quadrilateral inscribed in a circle $\Gamma$ such that $AB=BC=CD$. Let $M$ and $N$ be the midpoints of $AD$ and $AB$ respectively. The line $CM$ meets $\Gamma$ again at $E$. Prove that the tangent at $E$ to $\Gamma$, the line $AD$ and the line $CN$ are concurrent.
3 replies
PikaNiko
Dec 3, 2022
lightsynth123
an hour ago
J
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Continuity of function and line segment of integer length
egxa   2
N an hour ago by NO_SQUARES
Source: All Russian 2025 11.8
Let \( f: \mathbb{R} \to \mathbb{R} \) be a continuous function. A chord is defined as a segment of integer length, parallel to the x-axis, whose endpoints lie on the graph of \( f \). It is known that the graph of \( f \) contains exactly \( N \) chords, one of which has length 2025. Find the minimum possible value of \( N \).
2 replies
egxa
Apr 18, 2025
NO_SQUARES
an hour ago
J
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Disjoint Pairs
MithsApprentice   41
N an hour ago by NerdyNashville
Source: USAMO 1998
Suppose that the set $\{1,2,\cdots, 1998\}$ has been partitioned into disjoint pairs $\{a_i,b_i\}$ ($1\leq i\leq 999$) so that for all $i$, $|a_i-b_i|$ equals $1$ or $6$. Prove that the sum \[ |a_1-b_1|+|a_2-b_2|+\cdots +|a_{999}-b_{999}| \] ends in the digit $9$.
41 replies
MithsApprentice
Oct 9, 2005
NerdyNashville
an hour ago
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5 Ways to Reach Expedia Customer Service by Phone, Chat, and Email Methods
RichaSheoran   0
an hour ago
To reach a live person at Expedia customer service for support, you can call their 24/7 Expedia Phone number hotline at 1 = 860 = 540 = 0471 . OTA (Live Person) or 1-800-Expedia 1 = 860 = 540 = 0471 . You can also use the live chat feature on their website or reach out to them via email. Speaking with a live representative at Expedia is straightforward . Whether you're dealing with booking issues, need to make changes to your travel plans, or have specific inquiries, reaching out to a live agent can quickly resolve your concerns. This guide explains the steps to contact Expedia customer service via phone and provides tips on the best times to call to minimize wait times.
0 replies
RichaSheoran
an hour ago
0 replies
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Help my diagram has too many points
MarkBcc168   27
N an hour ago by Om245
Source: IMO Shortlist 2023 G6
Let $ABC$ be an acute-angled triangle with circumcircle $\omega$. A circle $\Gamma$ is internally tangent to $\omega$ at $A$ and also tangent to $BC$ at $D$. Let $AB$ and $AC$ intersect $\Gamma$ at $P$ and $Q$ respectively. Let $M$ and $N$ be points on line $BC$ such that $B$ is the midpoint of $DM$ and $C$ is the midpoint of $DN$. Lines $MP$ and $NQ$ meet at $K$ and intersect $\Gamma$ again at $I$ and $J$ respectively. The ray $KA$ meets the circumcircle of triangle $IJK$ again at $X\neq K$.

Prove that $\angle BXP = \angle CXQ$.

Kian Moshiri, United Kingdom
27 replies
MarkBcc168
Jul 17, 2024
Om245
an hour ago
J
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Discuss the Stanford Math Tournament Here
Aaronjudgeisgoat   299
N 2 hours ago by techb
I believe discussion is allowed after yesterday at midnight, correct?
If so, I will put tentative answers on this thread.
By the way, does anyone know the answer to Geometry Problem 5? I was wondering if I got that one right
Also, if you put answers, please put it in a hide tag

Answers for the Algebra Subject Test
Estimated Algebra Cutoffs
Answers for the Geometry Subject Test
Estimated Geo Cutoffs
Answers for the Discrete Subject Test
Estimated Cutoffs for Discrete
Answers for the Team Round
Guts Answers
299 replies
Aaronjudgeisgoat
Apr 14, 2025
techb
2 hours ago
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Geometry, SMO 2016, not easy
Zoom   18
N 2 hours ago by SimplisticFormulas
Source: Serbia National Olympiad 2016, day 1, P3
Let $ABC$ be a triangle and $O$ its circumcentre. A line tangent to the circumcircle of the triangle $BOC$ intersects sides $AB$ at $D$ and $AC$ at $E$. Let $A'$ be the image of $A$ under $DE$. Prove that the circumcircle of the triangle $A'DE$ is tangent to the circumcircle of triangle $ABC$.
18 replies
Zoom
Apr 1, 2016
SimplisticFormulas
2 hours ago
J
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A touching question on perpendicular lines
Tintarn   2
N 2 hours ago by pi_quadrat_sechstel
Source: Bundeswettbewerb Mathematik 2025, Round 1 - Problem 3
Let $k$ be a semicircle with diameter $AB$ and midpoint $M$. Let $P$ be a point on $k$ different from $A$ and $B$.

The circle $k_A$ touches $k$ in a point $C$, the segment $MA$ in a point $D$, and additionally the segment $MP$. The circle $k_B$ touches $k$ in a point $E$ and additionally the segments $MB$ and $MP$.

Show that the lines $AE$ and $CD$ are perpendicular.
2 replies
Tintarn
Mar 17, 2025
pi_quadrat_sechstel
2 hours ago
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RIP BS2012
gavinhaominwang   12
N 3 hours ago by KevinYang2.71
Rip BS2012, I hope you come back next year stronger and prove everyone wrong.
12 replies
gavinhaominwang
Today at 12:32 AM
KevinYang2.71
3 hours ago
J
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Some nice summations
amitwa.exe   31
N 3 hours ago by soryn
Problem 1: $\Omega=\left(\sum_{0\le i\le j\le k}^{\infty} \frac{1}{3^i\cdot4^j\cdot5^k}\right)\left(\mathop{{\sum_{i=0}^{\infty}\sum_{j=0}^{\infty}\sum_{k=0}^{\infty}}}_{i\neq j\neq k}\frac{1}{3^i\cdot3^j\cdot3^k}\right)=?$
31 replies
amitwa.exe
May 24, 2024
soryn
3 hours ago
J
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Interesting inequalities
sqing   0
3 hours ago
Source: Own
Let $ a,b,c\geq 0 ,b+c-ca=1 $ and $ c+a-ab=3.$ Prove that
$$a+\frac{19}{10}b-bc\leq 2-\sqrt 2$$$$a+\frac{17}{10}b+c-bc\leq 3$$$$ a^2+\frac{9}{5}b-bc\leq 6-4\sqrt 2$$$$ a^2+\frac{8}{5}b^2-bc\leq 6-4\sqrt 2$$$$a+1.974873b-bc\leq 2-\sqrt 2$$$$a+1.775917b+c-bc\leq 3$$

0 replies
1 viewing
sqing
3 hours ago
0 replies
J
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How many people get waitlisted st promys?
dragoon   26
N 4 hours ago by wuwang2002
Asking for a friend here
26 replies
dragoon
Apr 18, 2025
wuwang2002
4 hours ago
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J
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The Unofficial SuMAC 2025 Decisions Thread
scls140511   32
N Apr 19, 2025 by PATRICKLIU
As decisions come out tomorrow, good luck everyone! (btw I can't wait to be rejected)
Share anything about the decisions if you are willing to
32 replies
scls140511
Apr 11, 2025
PATRICKLIU
Apr 19, 2025
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The Unofficial SuMAC 2025 Decisions Thread
G H J
Reveal topic tags
SuMAC
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scls140511
115 posts
scls140511
#1 h  Apr 11, 2025, 2:05 AM • 1 Y
Y by Exponent11
As decisions come out tomorrow, good luck everyone! (btw I can't wait to be rejected)
Share anything about the decisions if you are willing to
Z K Y
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skyhe2018
5 posts
skyhe2018
#2 h  Apr 11, 2025, 2:51 AM
Y by
Does anyone know what time they release the decision?
Z K Y
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abbominable_sn0wman
50 posts
abbominable_sn0wman
#3 h  Apr 11, 2025, 2:57 AM
Y by
They said afternoon (evening for east coast ppl)
gl everyone!!!
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Richard-Stillhard
9 posts
Richard-Stillhard
#4 h  Apr 11, 2025, 4:49 AM • 3 Y
Y by KevinYang2.71, megarnie, Shreyasharma
YES YES OMG I GOT IN.

on phone rn but ill add ss when i get home

also the email dosnt specfiy the cost for res session 1, does anyone rmb it
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Shreyasharma
678 posts
Shreyasharma
#5 h  Apr 11, 2025, 4:50 AM • 1 Y
Y by megarnie
Richard-Stillhard wrote:
YES YES OMG I GOT IN.

on phone rn but ill add ss when i get home

also the email dosnt specfiy the cost for res session 1, does anyone rmb it

Congrats Richard!
Z K Y
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jkim0656
949 posts
jkim0656
#6 h  Apr 11, 2025, 4:55 AM
Y by
Richard-Stillhard wrote:
YES YES OMG I GOT IN.

on phone rn but ill add ss when i get home

also the email dosnt specfiy the cost for res session 1, does anyone rmb it

yay!
gl everyone else~
Z K Y
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scls140511
115 posts
scls140511
#7 h  Apr 11, 2025, 5:00 AM
Y by
Richard-Stillhard wrote:
YES YES OMG I GOT IN.

on phone rn but ill add ss when i get home

also the email dosnt specfiy the cost for res session 1, does anyone rmb it

Isn't the decisions not out yet? lolol
Z K Y
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hsuya1
173 posts
hsuya1
#8 h  Apr 11, 2025, 5:13 AM
Y by
scls140511 wrote:
As decisions come out tomorrow, good luck everyone! (btw I can't wait to be rejected)
Share anything about the decisions if you are willing to

How can you apply if you are on the AMC problem writing committee?
Z K Y
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scls140511
115 posts
scls140511
#9 h  Apr 11, 2025, 5:16 AM
Y by
hsuya1 wrote:
scls140511 wrote:
As decisions come out tomorrow, good luck everyone! (btw I can't wait to be rejected)
Share anything about the decisions if you are willing to

How can you apply if you are on the AMC problem writing committee?

Why can't I? Theres no rule that prevent me from applying
Z K Y
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scls140511
115 posts
scls140511
#10 h  Apr 11, 2025, 5:17 AM
Y by
Richard-Stillhard wrote:
YES YES OMG I GOT IN.

on phone rn but ill add ss when i get home

also the email dosnt specfiy the cost for res session 1, does anyone rmb it

Prolly fake? OP is a rising 9th grader so he isn't elligible
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hsuya1
173 posts
hsuya1
#11 h  Apr 11, 2025, 5:19 AM
Y by
scls140511 wrote:
hsuya1 wrote:
scls140511 wrote:
As decisions come out tomorrow, good luck everyone! (btw I can't wait to be rejected)
Share anything about the decisions if you are willing to

How can you apply if you are on the AMC problem writing committee?

Why can't I? Theres no rule that prevent me from applying

I thought you needed to be a rising junior/senior to apply to SUMAC and be ineligible to take AMC 10/12 (graduated high school) to write problems for it.
This post has been edited 1 time. Last edited by hsuya1, Apr 11, 2025, 5:20 AM
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scls140511
115 posts
scls140511
#12 h  Apr 11, 2025, 5:21 AM
Y by
Well I am a rising senior and I write problems. I dont participate in the AMCs any more and don't teach others to do it so I can propose problems
Z K Y
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Robert00
110 posts
Robert00
#13 h  Apr 11, 2025, 7:14 PM
Y by
Are decisions out yet?
Z K Y
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Alex-131
5360 posts
Alex-131
#14 h  Apr 11, 2025, 7:32 PM • 1 Y
Y by bjump
skyhe2018 wrote:
Does anyone know what time they release the decision?

I believe from previous years somewhere from 6-9 PM ET. Gl to everyone!
This post has been edited 1 time. Last edited by Alex-131, Apr 11, 2025, 7:33 PM
Reason: buh
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blueberryfaygo_55
340 posts
blueberryfaygo_55
#15 h  Apr 11, 2025, 9:16 PM
Y by
SUMaC not SuMAC
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scls140511
115 posts
scls140511
#16 h  Apr 11, 2025, 10:51 PM
Y by
you can now check i believe
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deduck
204 posts
deduck
#17 h  Apr 11, 2025, 11:18 PM • 3 Y
Y by bjump, KevinYang2.71, Ruegerbyrd
rip got rejected, applied residential only because online is lame

i wrote like 20 pages on solutions and i thought i had a good chance

well that's just how life is, it sucks
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math_on_top
24 posts
math_on_top
#18 h  Apr 11, 2025, 11:30 PM • 2 Y
Y by bjump, Ruegerbyrd
Same reject bro i had a rlly good bouund for 6 idk maybe my activities were trash
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bjump
1004 posts
bjump
#19 h  Apr 11, 2025, 11:31 PM • 2 Y
Y by miguel00, Ruegerbyrd
999th post

waitlist :|
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miguel00
592 posts
miguel00
#20 h  Apr 11, 2025, 11:38 PM • 4 Y
Y by bjump, Robert00, Lhaj3, Ruegerbyrd
Waitlisted :wacko:
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zoo1202
82 posts
zoo1202
#21 h  Apr 12, 2025, 12:16 AM • 2 Y
Y by bjump, Ruegerbyrd
rejected hhhh
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ericbowenli
14 posts
ericbowenli
#22 h  Apr 12, 2025, 12:46 AM • 6 Y
Y by resources, jb2015007, bjump, abbominable_sn0wman, Ruegerbyrd, Demetri
Accepted!!!!!
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Pengu14
565 posts
Pengu14
#23 h  Apr 12, 2025, 1:24 AM • 1 Y
Y by jb2015007
Congrats to everyone who got in!
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abbominable_sn0wman
50 posts
abbominable_sn0wman
#24 h  Apr 12, 2025, 1:27 AM • 1 Y
Y by bjump
not even waitlisted just flat out rejected haha
although i knew i was pretty cooked when my 6b bound contained exponents, a floor function, summation notation, and a combination all in one expression
to be fair there's only 40 spots and the fact that like this whole thread's been waitlisted/rejected tells you a lot considering this is aops
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Ruegerbyrd
1066 posts
Ruegerbyrd
#25 h  Apr 12, 2025, 2:25 AM
Y by
waitlisted is still really good though?
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skyhe2018
5 posts
skyhe2018
#26 h  Apr 12, 2025, 3:26 AM
Y by
SUMaC online program 2 or Ross? (I’ve been to HSMC which has almost the same curriculum as Ross)
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scls140511
115 posts
scls140511
#27 h  Apr 12, 2025, 3:44 AM
Y by
do anyone know when ross will be out?
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abbominable_sn0wman
50 posts
abbominable_sn0wman
#28 h  Apr 12, 2025, 12:08 PM
Y by
skyhe2018 wrote:
SUMaC online program 2 or Ross? (I’ve been to HSMC which has almost the same curriculum as Ross)

id go to ross if i were you cuz its in person
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Rong0625
18 posts
Rong0625
#29 h  Apr 12, 2025, 10:52 PM
Y by
i got accepted residential but im doing program 2 so maybe less ppl applied?(also went to hsmc last summer which has very similar curriculum to program 1)
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miguel00
592 posts
miguel00
#30 h  Apr 12, 2025, 11:04 PM
Y by
Rong0625 wrote:
i got accepted residential but im doing program 2 so maybe less ppl applied?(also went to hsmc last summer which has very similar curriculum to program 1)

Wait does that mean they are selecting one more person from the residential waitlist if you withdraw from residential
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Jacksongong2018
34 posts
Jacksongong2018
#31 h  Apr 18, 2025, 9:31 PM
Y by
Online program II on top!!!

Only 16 spots btw...
This post has been edited 1 time. Last edited by Jacksongong2018, Apr 19, 2025, 2:58 AM
Reason: hi
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awesomeguy856
7265 posts
awesomeguy856
#32 h  Apr 19, 2025, 12:52 AM • 2 Y
Y by PATRICKLIU, Ruegerbyrd
I got into residential
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PATRICKLIU
3 posts
PATRICKLIU
#33 h  Apr 19, 2025, 1:03 AM
Y by
:showoff:
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N Quick Reply
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