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Tech support and questions about AoPS classes and materials
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k a July Highlights and 2025 AoPS Online Class Information
jwelsh   0
Jul 1, 2025
We are halfway through summer, so be sure to carve out some time to keep your skills sharp and explore challenging topics at AoPS Online and our AoPS Academies (including the Virtual Campus)!

[list][*]Over 60 summer classes are starting at the Virtual Campus on July 7th - check out the math and language arts options for middle through high school levels.
[*]At AoPS Online, we have accelerated sections where you can complete a course in half the time by meeting twice/week instead of once/week, starting on July 8th:
[list][*]MATHCOUNTS/AMC 8 Basics
[*]MATHCOUNTS/AMC 8 Advanced
[*]AMC Problem Series[/list]
[*]Plus, AoPS Online has a special seminar July 14 - 17 that is outside the standard fare: Paradoxes and Infinity
[*]We are expanding our in-person AoPS Academy locations - are you looking for a strong community of problem solvers, exemplary instruction, and math and language arts options? Look to see if we have a location near you and enroll in summer camps or academic year classes today! New locations include campuses in California, Georgia, New York, Illinois, and Oregon and more coming soon![/list]

MOP (Math Olympiad Summer Program) just ended and the IMO (International Mathematical Olympiad) is right around the corner! This year’s IMO will be held in Australia, July 10th - 20th. Congratulations to all the MOP students for reaching this incredible level and best of luck to all selected to represent their countries at this year’s IMO! Did you know that, in the last 10 years, 59 USA International Math Olympiad team members have medaled and have taken over 360 AoPS Online courses. Take advantage of our Worldwide Online Olympiad Training (WOOT) courses
and train with the best! Please note that early bird pricing ends August 19th!
Are you tired of the heat and thinking about Fall? You can plan your Fall schedule now with classes at either AoPS Online, AoPS Academy Virtual Campus, or one of our AoPS Academies around the US.

Our full course list for upcoming classes is below:
All classes start 7:30pm ET/4:30pm PT unless otherwise noted.

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0 replies
jwelsh
Jul 1, 2025
0 replies
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
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
what is xo
Bummer12345   3
N 2 minutes ago by StrahdVonZarovich
basically i was trying to search up "aops xooks meaning" on google, but i accidentally entered "aops xo". The first result was this which said I do not have access to this page and i should contact an administrator

what's the meaning of "xo" or "xo/red"?
3 replies
Bummer12345
2 hours ago
StrahdVonZarovich
2 minutes ago
Sunny lines
sarjinius   31
N 32 minutes ago by vsamc
Source: 2025 IMO P1
A line in the plane is called $sunny$ if it is not parallel to any of the $x$axis, the $y$axis, or the line $x+y=0$.

Let $n\ge3$ be a given integer. Determine all nonnegative integers $k$ such that there exist $n$ distinct lines in the plane satisfying both of the following:
[list]
[*] for all positive integers $a$ and $b$ with $a+b\le n+1$, the point $(a,b)$ lies on at least one of the lines; and
[*] exactly $k$ of the $n$ lines are sunny.
[/list]
31 replies
sarjinius
Today at 3:35 AM
vsamc
32 minutes ago
Colourful Queens
oVlad   6
N 39 minutes ago by Fat0508
Source: 2020 RMM Shortlist C3
Determine the smallest positive integer $k{}$ satisfying the following condition: For any configuration of chess queens on a $100 \times 100$ chequered board, the queens can be coloured one of $k$ colours so that no two queens of the same colour attack each other.

Russia, Sergei Avgustinovich and Dmitry Khramtsov
6 replies
oVlad
Oct 8, 2022
Fat0508
39 minutes ago
IMO Genre Predictions
ohiorizzler1434   116
N 43 minutes ago by InftyByond
Everybody, with IMO upcoming, what are you predictions for the problem genres?


Personally I predict: predict
116 replies
ohiorizzler1434
May 3, 2025
InftyByond
43 minutes ago
Incenter and midpoint geom
sarjinius   96
N 43 minutes ago by Berta_Arnlas
Source: 2024 IMO Problem 4
Let $ABC$ be a triangle with $AB < AC < BC$. Let the incenter and incircle of triangle $ABC$ be $I$ and $\omega$, respectively. Let $X$ be the point on line $BC$ different from $C$ such that the line through $X$ parallel to $AC$ is tangent to $\omega$. Similarly, let $Y$ be the point on line $BC$ different from $B$ such that the line through $Y$ parallel to $AB$ is tangent to $\omega$. Let $AI$ intersect the circumcircle of triangle $ABC$ at $P \ne A$. Let $K$ and $L$ be the midpoints of $AC$ and $AB$, respectively.
Prove that $\angle KIL + \angle YPX = 180^{\circ}$.

Proposed by Dominik Burek, Poland
96 replies
sarjinius
Jul 17, 2024
Berta_Arnlas
43 minutes ago
in n^2-9 has 6 positive divisors than GCD (n-3, n+3)=1
parmenides51   10
N an hour ago by cubres
Source: Greece JBMO TST 2016 p3
Positive integer $n$ is such that number $n^2-9$ has exactly $6$ positive divisors. Prove that GCD $(n-3, n+3)=1$
10 replies
parmenides51
Apr 29, 2019
cubres
an hour ago
Perpendicular line
Hung1092008   0
an hour ago
Let $ABCD$ be a quadrilateral with $AB=BC=AD$, $E=BC\cap AD$, $F=AB\cap CD$, $H=AC\cap BD$, $G$ the second intersection of $(EAB)$ and $(BCF)$, and $I$ the second intersection of $(HAD)$ and $(HBC)$; prove that $GH\perp IF$.
0 replies
Hung1092008
an hour ago
0 replies
Inspired by old results
sqing   1
N an hour ago by pooh123
Source: Own
Let $ x,y\geq 0, x+y=2. $ Prove that$$ \sqrt{x^2+6y+2}+\sqrt{y^2+6x+2}+\sqrt{xy+8}\geq 9$$$$ \sqrt{x^2+7y+1}+\sqrt{y^2+7x+1}+\sqrt{xy+8}\geq \sqrt{2\left(14+2\sqrt{30}+\sqrt{5(23+4\sqrt{30})}\right)}$$
1 reply
sqing
Jul 9, 2025
pooh123
an hour ago
two subsets with no fewer than four common elements.
micliva   43
N an hour ago by mudkip42
Source: All-Russian Olympiad 1996, Grade 9, First Day, Problem 4
In the Duma there are 1600 delegates, who have formed 16000 committees of 80 persons each. Prove that one can find two committees having no fewer than four common members.

A. Skopenkov
43 replies
1 viewing
micliva
Apr 18, 2013
mudkip42
an hour ago
Your average linear recurrence relation question
NamelyOrange   1
N an hour ago by NamelyOrange
Source: 2022 National Taiwan University STEM Development Program Admissions Test, P4
For positive integer $n$, define $a_n = (3+\sqrt{10})^n+(3-\sqrt{10})^n$.

(a) The constants $A$ and $B$ satisfy $a_{n+1} = Aa_n+Ba_{n-1}$ for all positive integer $n$. Find the value of these constants.
(b) Prove with induction that $a_n$ is an integer for all positive integer $n$.
(c) Prove that $n$ and $\lfloor (3+\sqrt{10})^n\rfloor$ have opposite parities for all integer $n$.
1 reply
NamelyOrange
Today at 4:01 AM
NamelyOrange
an hour ago
Partial sum of Taylor series of e^x
NamelyOrange   1
N an hour ago by NamelyOrange
Source: 2022 National Taiwan University STEM Development Program Admissions Test, P1
For positive integer $n$ and positive real $x$, define $e_n(x) = \sum_{k=0}^{n}\frac{x^k}{k!}$.

(a) Prove that $\frac{1}{n!}\le \frac{m^{m-n-1}}{(m-1)!}$ for all integer $n\ge m >1$.

(b) Use (a) to prove that $e_m(x)\le e_n(x)\le e_{m-1}(x)+\frac{x^m}{(m-1)!(m-x)}$ for all integer $n\ge m >1$ and real $0<x<m$.

(c) Use (b) to prove that for all positive real $x$, there exists some positive $L$ such that $e_n(x)<L$ for all positive integer $n$.

(d) Prove that for positive integer $m<n$ and positive real $x,y$ such that $x+y<m$, we have $0\le e_n(x+y)-e_n(x)e_n(y)\le \frac{m^{m-n-1}(x+y)^{n+1}}{(m-1)!(m-x-y)}$.
1 reply
NamelyOrange
Today at 3:54 AM
NamelyOrange
an hour ago
LaTeX TeXeR did not save...
PikaPika999   2
N Today at 1:27 AM by PikaPika999
1. So I was creating this game for my forum on LaTeX TeXeR with my friend
2. spent 2 hours working on it
3. I clicked save
4. I didn't touch it for ~1 week
5. I went to work on it today
6. none of my work was there :( :noo: :mad: :wallbash: :wallbash_red:
2 replies
PikaPika999
Today at 12:45 AM
PikaPika999
Today at 1:27 AM
Video not working
AndyYangZhang   3
N Yesterday at 11:53 PM by KangarooPrecise
Hello!

It seems that the videos in the Prealgebra course are not working for me? The website directs me to YouTube kids, but it does not point me to the video and I cannot find it through searching YouTube kids? Any help would be appreciated!

Thanks,
Andrew
3 replies
AndyYangZhang
Yesterday at 11:12 PM
KangarooPrecise
Yesterday at 11:53 PM
k Alcumus and For the win
Demetri   5
N Yesterday at 8:20 PM by Demetri
What is the reasoning for the alcumus and for the win forums not being searchable? Also why are their threads hidden after a certain amount of time?
5 replies
Demetri
Yesterday at 7:46 PM
Demetri
Yesterday at 8:20 PM
Processing module python not working
Demetri   11
N Jul 8, 2025 by PikaPika999
The following code doesn't work, because canvas isn't implemented for the processing module:
import processing
def setup():
    processing.size(200, 200)
def draw():
    processing.ellipse(100, 100, 50, 50)
    processing.noLoop()
processing.run()

I believe this is an easy fix, someone just forgot to add the line "Sk.canvas = outcanvas;"(or something similar) in the code for the pywindow, which would give an output.
11 replies
Demetri
Jul 1, 2025
PikaPika999
Jul 8, 2025
Processing module python not working
G H J
G H BBookmark kLocked kLocked NReply
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Demetri
1599 posts
#1 • 1 Y
Y by PikaPika999
The following code doesn't work, because canvas isn't implemented for the processing module:
  1. import processing
  2. def setup():
  3. processing.size(200, 200)
  4. def draw():
  5. processing.ellipse(100, 100, 50, 50)
  6. processing.noLoop()
  7. processing.run()

I believe this is an easy fix, someone just forgot to add the line "Sk.canvas = outcanvas;"(or something similar) in the code for the pywindow, which would give an output.
This post has been edited 4 times. Last edited by Demetri, Jul 2, 2025, 11:44 AM
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Demetri
1599 posts
#2 • 1 Y
Y by PikaPika999
/bump I'm just wondering is this going to be fixed?
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CurlyFalcon55
1397 posts
#3 • 1 Y
Y by PikaPika999
Where is this from? :oops:
Z K Y
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Demetri
1599 posts
#4 • 1 Y
Y by PikaPika999
Where is this from? :oops:
What do you mean by this?
@below I made it
This post has been edited 1 time. Last edited by Demetri, Jul 3, 2025, 2:24 PM
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CurlyFalcon55
1397 posts
#5 • 1 Y
Y by PikaPika999
Where is the code from?
Z K Y
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jmr2010
1262 posts
#6 • 2 Y
Y by ColorfulChameleon109, PikaPika999
I fixed it:
Attachments:
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Demetri
1599 posts
#7 • 1 Y
Y by PikaPika999
jmr2010 wrote:
I fixed it:

Unfortunately that code does not use the processing module. This means your code will work. The problem is someone forgot to type a line of code in the javascript for the pywindow that would give a screen so the processing module would work.
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jmr2010
1262 posts
#8 • 3 Y
Y by Demetri, ColorfulChameleon109, PikaPika999
Demetri wrote:
jmr2010 wrote:
I fixed it:

Unfortunately that code does not use the processing module. This means your code will work. The problem is someone forgot to type a line of code in the javascript for the pywindow that would give a screen so the processing module would work.

I know, I was just joking
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Demetri
1599 posts
#11 • 1 Y
Y by PikaPika999
/bump, I don't want this to get lost in a sea of locked threads.
Z K Y
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PikaPika999
3638 posts
#12
Y by
  1. import processing
  2.  
  3. def setup():
  4. size(200, 200)
  5.  
  6. def draw():
  7. ellipse(100, 100, 50, 50)
  8. noLoop()
  9. processing.run


here I tried fixing it




EDIT: and then u put a print at the end right?
EDIT #2: I don't think the processing.run() at the end works...
EDIT #3: I removed the parenthesis from the last line...
This post has been edited 7 times. Last edited by PikaPika999, Jul 8, 2025, 3:21 PM
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Demetri
1599 posts
#13 • 1 Y
Y by PikaPika999
If you remove the parentheses, the code won't run as intended, processing.run() runs the program, but you just made it not run.
This post has been edited 1 time. Last edited by Demetri, Jul 8, 2025, 3:29 PM
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PikaPika999
3638 posts
#14
Y by
oh I see...

yea idk then...
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