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k a March Highlights and 2025 AoPS Online Class Information
jlacosta   0
Mar 2, 2025
March is the month for State MATHCOUNTS competitions! Kudos to everyone who participated in their local chapter competitions and best of luck to all going to State! Join us on March 11th for a Math Jam devoted to our favorite Chapter competition problems! Are you interested in training for MATHCOUNTS? Be sure to check out our AMC 8/MATHCOUNTS Basics and Advanced courses.

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Do you have plans this summer? There are so many options to fit your schedule and goals whether attending a summer camp or taking online classes, it can be a great break from the routine of the school year. Check out our summer courses at AoPS Online, or if you want a math or language arts class that doesn’t have homework, but is an enriching summer experience, our AoPS Virtual Campus summer camps may be just the ticket! We are expanding our locations for our AoPS Academies across the country with 15 locations so far and new campuses opening in Saratoga CA, Johns Creek GA, and the Upper West Side NY. Check out this page for summer camp information.

Be sure to mark your calendars for the following events:
[list][*]March 5th (Wednesday), 4:30pm PT/7:30pm ET, HCSSiM Math Jam 2025. Amber Verser, Assistant Director of the Hampshire College Summer Studies in Mathematics, will host an information session about HCSSiM, a summer program for high school students.
[*]March 6th (Thursday), 4:00pm PT/7:00pm ET, Free Webinar on Math Competitions from elementary through high school. Join us for an enlightening session that demystifies the world of math competitions and helps you make informed decisions about your contest journey.
[*]March 11th (Tuesday), 4:30pm PT/7:30pm ET, 2025 MATHCOUNTS Chapter Discussion MATH JAM. AoPS instructors will discuss some of their favorite problems from the MATHCOUNTS Chapter Competition. All are welcome!
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0 replies
jlacosta
Mar 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
J
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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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U.S.J.A.M.O tips from a superstar!
K-Cliquey   26
N 4 minutes ago by gavinhaominwang
Source: smart people
Hi every body. I know it is very stressful because the U.S.J.A.M.O. is soon, I just want to make sure everyone pays attention to their mental health. Every day, remember mental health is more important than U.S.J.A.M.Ο.

And I used to be worse than my friend at U.S.J.A.M.O., but I improve, so here are my tips for making sure mental health on the U.S.J.A.M.O.


1. Drink water. You are not cactus.


2. Don't drink too much water. Or else you will pee.


3. Get protein. I recommend cow meat.


4. (I am serious) Have a girlfriend or a boyfriend. I got rejected 8 times before I met Lennon Court, but he is my best emotional support on the U.S.J.A.M.O. now. It is good emotional support.


5. Sleep early. I know you guys are scared of dreaming about bad U.S.J.A.M.O. grade, but just think about #4 so you can get mental healthy from sleep instead of nightmare.


6. Social to your friends! They are also good mental healthy support.



Now, most importantly, ADD YOUR TIPS TO THIS LIST. PLEASE COMMENT DOWN BELOW YOUR TIPS FOR GOOD MENTAL HEALTH. We are a TEAM to have good MENTAL HEALTH.
26 replies
+2 w
K-Cliquey
Today at 4:56 AM
gavinhaominwang
4 minutes ago
J
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Inequality
Marinchoo   6
N 35 minutes ago by sqing
If $abc=1$ prove that $8(a^3+b^3+c^3) \geq 3(a^2+bc)(b^2+ac)(c^2+ab)$
6 replies
Marinchoo
Apr 28, 2020
sqing
35 minutes ago
J
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Interesting inequality
sqing   4
N an hour ago by sqing
Source: Own
Let $ a,b,c\geq 2 . $ Prove that
$$(a^2-1)(b-1)(c^2-1) -\frac{9}{4}abc\geq -9$$$$(a^2-1)(b-1)(c^2-1) -\frac{11}{5}abc\geq -\frac{43}{5}$$$$(a^2-1)(b-1)(c^2-1) -2abc\geq -7$$$$(a-1)(b^2-1)(c-1) -\frac{3}{4}abc\geq -3$$$$(a-1)(b^2-1)(c-1) -\frac{3}{5}abc\geq -\frac{9}{5}$$$$(a-1)(b^2-1)(c-1) -\frac{1}{2}abc\geq -1$$
4 replies
sqing
3 hours ago
sqing
an hour ago
J
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Orthocentre is collinear with two tangent points
vladimir92   42
N an hour ago by AshAuktober
Source: Chinese MO 1996
Let $\triangle{ABC}$ be a triangle with orthocentre $H$. The tangent lines from $A$ to the circle with diameter $BC$ touch this circle at $P$ and $Q$. Prove that $H,P$ and $Q$ are collinear.
42 replies
vladimir92
Jul 29, 2010
AshAuktober
an hour ago
J
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Problem 4
den_thewhitelion   3
N an hour ago by DensSv
Source: Second Romanian JBMO TST 2016
We have a 4x4 board.All 1x1 squares are white.A move is changing colours of all squares of a 1x3 rectangle from black to white and from white to black.It is possible to make all the 1x1 squares black after several moves?
3 replies
den_thewhitelion
Jun 15, 2016
DensSv
an hour ago
J
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Find the period
Anto0110   2
N an hour ago by YaoAOPS
Let $a_1, a_2, ..., a_k, ...$ be a sequence that consists of an initial block of $p$ positive distinct integers that then repeat periodically. This means that $\{a_1, a_2, \dots, a_p\}$ are $p$ distinct positive integers and $a_{n+p}=a_n$ for every positive integer $n$. The terms of the sequence are not known and the goal is to find the period $p$. To do this, at each move it possible to reveal the value of a term of the sequence at your choice.
If $p$ is one of the first $k$ prime numbers, find for which values of $k$ there exist a strategy that allows to find $p$ revealing at most $8$ terms of the sequence.
2 replies
Anto0110
Yesterday at 7:37 PM
YaoAOPS
an hour ago
J
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Good luck on olympiads tomorrow!
observer04   5
N an hour ago by ElectricWolverine
Hello mortals!

For those of you that qualified for the USAMO / USAJMO, I have a message for you! Remember to have fun! And enjoy the experience! Personally, I did not qualify for the USAMO / USAJMO! But I am still eager to try the high quality thought-provoking problems! As I once said... it's not all about the score!

Furthermore, for those like myself who failed along the way, it's A-OK! Don't worry, fellows! Remember to smile and enjoy your lives! There is more than math out there!


Warmest Regards
5 replies
observer04
Today at 1:27 AM
ElectricWolverine
an hour ago
J
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Very interesting inequality
sqing   0
an hour ago
Source: Own
Let $ a,b,c\geq 2 . $ Prove that
$$(a-1)(b^2-2)(c^3-3)- \frac{5}{2}abc\geq -10$$$$(a-\frac{3}{2})(b^2-2)(c^3-3)- \frac{5}{2}abc\geq -15$$$$(a-\frac{3}{2})(b^2-\frac{3}{2})(c^3-3)- \frac{25}{8}abc\geq - \frac{155}{8}$$$$(a-\frac{3}{2})(b^2-\frac{3}{2})(c^3-3)- 3abc\geq - \frac{363}{20}$$$$(a-\frac{3}{2})(b^2-\frac{3}{2})(c^3-\frac{5}{2})- \frac{55}{16}abc\geq - \frac{341}{16}$$
0 replies
sqing
an hour ago
0 replies
J
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inequality
senku23   3
N an hour ago by SunnyEvan
Let x,y,z in R+ prove that 8(x^3+y^3+z^3)2≥9(x^2+yz)(y^2+zx)(z^2+xy).
3 replies
senku23
4 hours ago
SunnyEvan
an hour ago
J
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ratio chasing inside a triangle, segment trisecting
parmenides51   10
N 2 hours ago by sangsidhya
Source: CRMO 2012 Region 2 p5
Let $ABC$ be a triangle. Let $D, E$ be a points on the segment $BC$ such that $BD =DE = EC$. Let $F$ be the mid-point of $AC$. Let $BF$ intersect $AD$ in $P$ and $AE$ in $Q$ respectively. Determine $BP:PQ$.
10 replies
parmenides51
Sep 30, 2018
sangsidhya
2 hours ago
J
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Geo: incircle, escircle, isotomic conjugate
XAN4   0
2 hours ago
Source: Own
For $\triangle{ABC}$, Its incircle $\odot I$ and $A-$escircle $\odot I_A$ are tangent to $BC$ at $D$ and $E$ respectively. $AI$ intersects line $BC$ at $J$. Line $AD$ intersects $\odot I$ at $F$, and line $AE$ intersects $\odot I_A$ at $G$. Line $FG$ intersects $BC$ at $H$. Prove that $BJ=CH$.
0 replies
XAN4
2 hours ago
0 replies
J
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f(x)+f(x+y) \leq f(xy)+f(y)
augustin_p   7
N 2 hours ago by MuradSafarli
Source: Estonia TST 2022
Find all functions $f:\mathbb{R}\rightarrow\mathbb{R}$ that satisfy the following condition for any real numbers $x{}$ and $y$ $$f(x)+f(x+y) \leq f(xy)+f(y).$$
7 replies
augustin_p
Jul 12, 2023
MuradSafarli
2 hours ago
J
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College Math Competitions
gavinhaominwang   6
N Today at 7:41 AM by xHypotenuse
What are the major competitions that take place at college? For example HMMT.
6 replies
gavinhaominwang
Today at 1:39 AM
xHypotenuse
Today at 7:41 AM
J
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Trapezoid ABCD
tenniskidperson3   51
N Today at 5:15 AM by Curious_Droid
Source: 2009 USAMO problem 5
Trapezoid $ ABCD$, with $ \overline{AB}||\overline{CD}$, is inscribed in circle $ \omega$ and point $ G$ lies inside triangle $ BCD$. Rays $ AG$ and $ BG$ meet $ \omega$ again at points $ P$ and $ Q$, respectively. Let the line through $ G$ parallel to $ \overline{AB}$ intersects $ \overline{BD}$ and $ \overline{BC}$ at points $ R$ and $ S$, respectively. Prove that quadrilateral $ PQRS$ is cyclic if and only if $ \overline{BG}$ bisects $ \angle CBD$.
51 replies
tenniskidperson3
Apr 30, 2009
Curious_Droid
Today at 5:15 AM
J
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J
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10B Score Thread
BS2012   140
N Today at 1:17 AM by hashbrown2009
$\begin{tabular}{c|c|c|c|c}Username & Grade & 10B \\ \hline BS2012 & 9 & 144 \\ \end{tabular}$
EDIT: I found out i didn't silly #19, so i got 144
140 replies
BS2012
Nov 13, 2024
hashbrown2009
Today at 1:17 AM
J
10B Score Thread
G H J
Reveal topic tags
2024 AMC 10b
AMC 10
scores
2024 AMC
AMC
L
G H BBookmark kLocked kLocked NReply
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BS2012
891 posts
BS2012
#1 h  Nov 13, 2024, 5:17 PM
Y by
$\begin{tabular}{c|c|c|c|c}Username & Grade & 10B \\ \hline BS2012 & 9 & 144 \\ \end{tabular}$
EDIT: I found out i didn't silly #19, so i got 144
This post has been edited 2 times. Last edited by BS2012, Nov 13, 2024, 7:35 PM
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zhoujef000
285 posts
zhoujef000
#2 h  Nov 13, 2024, 5:20 PM • 1 Y
Y by tanxin002
$\begin{tabular}{c|c|c|c|c}Username & Grade & 10B \\ \hline BS2012 & 9 & 144\\ zhoujef000 &9 &138 \\ \end{tabular}$
This post has been edited 1 time. Last edited by zhoujef000, Nov 14, 2024, 1:21 AM
Reason: op was edited
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Aaronjudgeisgoat
824 posts
Aaronjudgeisgoat
#3 h  Nov 13, 2024, 5:20 PM
Y by
3 sillies :sob
$\begin{tabular}{c|c|c|c|c}Username & Grade & 10B \\ \hline BS2012 & 9 & 138 \\ zhoujef000 & 9 & 138 \\ Aaronjudgeisgoat & 10 & 127.5 \\ \end{tabular}$
This post has been edited 3 times. Last edited by Aaronjudgeisgoat, Nov 13, 2024, 5:21 PM
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ostriches88
1523 posts
ostriches88
#4 h  Nov 13, 2024, 5:21 PM
Y by
sillying down from a perfect is fun
$\begin{tabular}{c|c|c|c|c}Username & Grade & 10B \\ \hline BS2012 & 9 & 138 \\ Zhoujef & 9 & 138 \\ Aaronjudgeisgoat & 10 & 127.5 \\ ostriches88 & 9 & 126 \\ \end{tabular}$
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maxamc
446 posts
maxamc
#5 h  Nov 13, 2024, 5:22 PM
Y by
15 pints
This post has been edited 1 time. Last edited by maxamc, Feb 26, 2025, 2:55 AM
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pingpongmerrily
3500 posts
pingpongmerrily
#6 h  Nov 13, 2024, 5:23 PM
Y by
$\begin{tabular}{c|c|c|c|c}Username & Grade & 10B \\ \hline BS2012 & 9 & 138 \\ Zhoujef & 9 & 138 \\ Aaronjudgeisgoat & 10 & 127.5 \\ ostriches88 & 9 & 126 \\ pingpongmerrily & 8 & 112.5 \\ \end{tabular}$
i kinda sold but like why am i always the worst on aops :skull:
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Vedoral
89 posts
Vedoral
#7 h  Nov 13, 2024, 5:24 PM • 1 Y
Y by caoli_new
$\begin{tabular}{c|c|c|c|c}Username & Grade & 10B \\ \hline Vedoral & 10 & 144 \\ BS2012 & 9 & 138 \\ Zhoujef & 9 & 138 \\ Aaronjudgeisgoat & 10 & 127.5 \\ ostriches88 & 9 & 126 \\ \end{tabular}$
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Tem8
234 posts
Tem8
#8 h  Nov 13, 2024, 5:24 PM
Y by
$\begin{tabular}{c|c|c|c|c}Username & Grade & 10B \\ \hline maxamc & ? & 150 \\ BS2012 & 9 & 138 \\ Zhoujef & 9 & 138 \\ Aaronjudgeisgoat & 10 & 127.5 \\ ostriches88 & 9 & 126 \\ Tem8 & 9 & 126 \\ pingpongmerrily & 8 & 112.5 \\ \end{tabular}$
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megarnie
5532 posts
megarnie
#9 h  Nov 13, 2024, 5:24 PM
Y by
$\begin{tabular}{c|c|c|c|c}Username & Grade & 10B \\ \hline Vedoral & 10 & 144 \\ BS2012 & 9 & 138 \\ Zhoujef & 9 & 138 \\ megarnie & 10 & 133.5 \\ Aaronjudgeisgoat & 10 & 127.5 \\ ostriches88 & 9 & 126 \\ \end{tabular}$

im washed (133.5 last year also)
This post has been edited 1 time. Last edited by megarnie, Nov 13, 2024, 5:25 PM
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vincentwant
1231 posts
vincentwant
#10 h  Nov 13, 2024, 5:25 PM
Y by
$\begin{tabular}{c|c|c|c|c}Username & Grade & 10B \\ \hline vincentwant & 10 & 150 \\ Vedoral & 10 & 144 \\ BS2012 & 9 & 138 \\ Zhoujef & 9 & 138 \\ Aaronjudgeisgoat & 10 & 127.5 \\ ostriches88 & 9 & 126 \\ \end{tabular}$
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PaixiaoLover
124 posts
PaixiaoLover
#11 h  Nov 13, 2024, 5:25 PM
Y by
$\begin{tabular}{c|c|c|c|c}Username & Grade & 10B \\ \hline vincentwant & 10 & 150 \\ Vedoral & 10 & 144 \\ BS2012 & 9 & 138 \\ Zhoujef & 9 & 138 \\ PaixiaoLover & -239 & 133.5 \\ Aaronjudgeisgoat & 10 & 127.5 \\ ostriches88 & 9 & 126 \\ \end{tabular}$
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greenAB08
10 posts
greenAB08
#12 h  Nov 13, 2024, 5:26 PM
Y by
$\begin{tabular}{c|c|c|c|c}Username & Grade & 10B \\ \hline vincentwant & 10 & 150 \\ greenAB08 & 10 & 150 \\ Vedoral & 10 & 144 \\ BS2012 & 9 & 138 \\ Zhoujef & 9 & 138 \\ PaixiaoLover & -239 & 133.5 \\ Aaronjudgeisgoat & 10 & 127.5 \\ ostriches88 & 9 & 126 \\ \end{tabular}$
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pingpongmerrily
3500 posts
pingpongmerrily
#13 h  Nov 13, 2024, 5:27 PM
Y by
$\begin{tabular}{c|c|c|c|c}Username & Grade & 10B \\ \hline vincentwant & 10 & 150 \\ Vedoral & 10 & 144 \\ BS2012 & 9 & 138 \\ Zhoujef & 9 & 138 \\ PaixiaoLover & -239 & 133.5 \\ Aaronjudgeisgoat & 10 & 127.5 \\ ostriches88 & 9 & 126 \\ pingpongmerily & 8 & 112.5 \\ \end{tabular}$
i got sniped so i put myself back
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vincentwant
1231 posts
vincentwant
#14 h  Nov 13, 2024, 5:27 PM
Y by
wait why id di put my grade as 10 oop
$\begin{tabular}{c|c|c|c|c}Username & Grade & 10B \\ \hline vincentwant & 9 & 150 \\ greenAB08 & 10 & 150 \\ Vedoral & 10 & 144 \\ BS2012 & 9 & 138 \\ Zhoujef & 9 & 138 \\ PaixiaoLover & -239 & 133.5 \\ Aaronjudgeisgoat & 10 & 127.5 \\ ostriches88 & 9 & 126 \\ \end{tabular}$[/quote]
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cxrupptedpat
226 posts
cxrupptedpat
#15 h  Nov 13, 2024, 5:27 PM
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add me i got 144(9th grade)
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