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IMO 2012 Argentina

Forum Index > General Forum 1 2 3 4 All
  ]343[   United States. July 11 2012 06:46. Posts 8153Profile Blog # 
It's that time of year again! The International Mathematical Olympiad (IMO) 2012, the premier international mathematics contest for high-school students, is being held in Mar del Plata, Argentina this year. In this year's IMO IMO, 551 contestants from 100 countries are competing in a grueling 2-day exam; each day, they are allotted 4.5 hours for 3 problems. Contestants must not only solve these very difficult problems, but must write up rigorous proofs to be submitted for grading.

Each problem is graded on a 7-point scale, for a maximum score of 42. Coordination (in which team coaches argue with graders/judges for more partial credit) will be taking place later this week, so expect scores by the end of the week or so; China, the USA and Russia have traditionally been among the top teams, while countries like Korea (both of them), Japan, Vietnam, Thailand, Iran, Romania, and Germany often do quite well.

This year's US team looks quite strong; it returns three of its six members from last year's #2 team, which earned six gold medals (top 1/12 of contestants)--a first since 1994, when the US team earned an unrivaled 6/6 perfect scores. (Also, at least a few US team members have teamliquid accounts :D ) Good luck to them!

News:
7/10: Day 1 just finished; problems can be found here.

7/11: Day 2 finished! Link above has been updated. Results should be out within a few days.

7/15: Results have been released here! Note that 42 is a full individual score (so 252 is a full team score).

Country results:
Rank	Country			Score   Gold/Silver/Bronze
1. Republic of Korea 209 6/0/0
2. People's Republic of China 195 5/0/1
3. United States of America 194 5/1/0
4. Russian Federation 177 4/2/0
5. Canada 159 3/1/2
5. Thailand 159 3/3/0
7. Singapore 154 1/3/2
8. Iran 151 3/2/1
9. Vietnam 148 1/3/2
10. Romania 144 2/3/1


Individual Results:
Rank	Name		Country				Problem Scores	Total
1. Jeck Lim Singapore 7 7 7 7 7 7 42
2. Dong Ryul Kim Republic of Korea 7 7 7 5 7 7 40
3. Bobby Shen United States of America 7 7 4 7 7 7 39
4. Zhuo Qun (Alex) Song Canada 7 7 3 7 7 7 38
4. Yiyang She People's Republic of China 7 7 3 7 7 7 38
4. Jaewon Chang Republic of Korea 7 7 4 6 7 7 38
4. Teodor von Burg Serbia 7 7 7 6 7 4 38
8. Haoyu Wang People's Republic of China 7 7 3 6 7 7 37
9. Hanwool Moon Republic of Korea 7 7 4 7 7 4 36
9. David Yang United States of America 7 7 7 7 1 7 36
11. Calvin Deng Canada 7 7 3 7 7 4 35
11. Jingwen Chen People's Republic of China 7 7 0 7 7 7 35
11. Daniil Kliuev Russian Federation 7 7 7 7 7 0 35
11. Thomas Swayze United States of America 7 7 7 7 7 0 35


Note that problem difficulties are supposed to be 3 > 2 > 1, 6 > 5 > 4.
Average scores:
Subset	P1	P2	P3	P4	P5	P6	Total
All 5.63 2.56 0.41 3.77 1.66 0.34 14.36
Bronze+ 6.87 4.68 0.79 5.42 3.04 0.60 21.39
Silver+ 7.00 6.07 1.33 6.04 4.72 1.07 26.24
Gold 7.00 6.96 2.63 6.55 6.41 2.24 31.78
Last edit: 2012-07-16 04:28:55
move along, move along, just to make it through || RIP KT_Violet <3
Old Post

 
 GGTeMpLaR   United States. July 11 2012 06:50. Posts 3849
Profile Blog # 
Well, they're beyond my math knowledge.
“Although our intellect always longs for clarity and certainty, our nature often finds uncertainty fascinating.” ~Karl Von Clausewitz~
Old Post

 
 Antimatterz   United States. July 11 2012 07:07. Posts 998
Profile # 
Would have been nice if my school remotely supported doing this, looks like it would be pretty interesting.
It's not a witchhunt if you have KR: http://www.teamliquid.net/forum/viewmessage.php?topic_id=371282#1 "HotBid [11:45 AM]: i dunno i kinda like the big muta shooting smaller mutas out"
Old Post

 
 GinDo   July 11 2012 07:09. Posts 2927
Profile Blog # 
God I'm so tired, I thought I read Miss 2012 Argentina.
ⱩŦ ƑⱠẬ$Ħ / ƩǤ ɈƩẬƉØƝǤ [ɌȻ]
Old Post

  ]343[   United States. July 11 2012 07:14. Posts 8153Profile Blog # 

On July 11 2012 07:07 Antimatterz wrote:
Would have been nice if my school remotely supported doing this, looks like it would be pretty interesting.


Hmm, your school doesn't offer the AMC? :/ There's probably a school near your area which does, and there's quite a few university locations which offer the AMC to local high-school students, too.
move along, move along, just to make it through || RIP KT_Violet <3
Old Post

 
 Duval   Belgium. July 11 2012 07:24. Posts 125
Profile Blog # 
lolol, I thought this guy in my class won a trip to argentina participating in the belgian math olympiad, but apparently he's there to be participating. I wonder how he's doing :D
Old Post

 
 Nehsb   United States. July 11 2012 07:30. Posts 194
Profile # 
If people want to try the problems, I think the first part of problem 3 is pretty good to try if you´re not that familiar with any branch of math. It doesn't really use any knowledge that most people wouldn`t know.

Problems 1 and 2 are a lot easier than normal this year in my opinion, but they still require some knowledge that I'm not sure is common.

Also I should probably note the way it usually is supposed to be ordered is 3>2>1 in difficulty and 6>5>4.
Last edit: 2012-07-11 07:31:25
Old Post

 
 archonOOid   July 11 2012 07:31. Posts 1873
Profile Blog # 
It would be great if they broadcasted this event as math is at the core of science. I would like to see some personal interviews and live commentary.
I'm Quotable (IQ)
Old Post

 
 blankspace   United States. July 11 2012 08:18. Posts 286
Profile Blog # 
haha I haven't seen olympiad problems in forever, they are sometimes more fun than school math (screw abstract algebra).

Number 2 seems pretty easy though...dividing everything by 1 and using a bit of calculus does the trick. Maybe I'll try number 3 later, it seems more interesting.



Hello friends
Old Post

 
 Topin   Peru. July 11 2012 08:39. Posts 1026
Profile Blog # 
that questions lool like the Chunnin Exam :S
if someone went to Sogang to learn korean pls PM me :)
Old Post

 
 fasdaf   July 11 2012 11:38. Posts 55
Profile Blog # 
Problem 2 can also be done just by using AM-GM, the bound is really weak. I'm not really sure what it's doing on the IMO. Problem 3 looks interesting, I still have no idea how to approach it.
Old Post

 
 bpgbcg   United States. July 11 2012 11:44. Posts 70
Profile # 
Oh wow I spent way to long failing #1. I feel like I'm getting rusty...

Yeah #2 is just AM-GM, but 3 looks interesting... the 2^k bound and the fact that you probably want weirdly overlapping sets indicates probably binary for part a... I haven't looked at part b.
I don't have the creativity to think of a signature.
Old Post

 
 Aerisky   United States. July 11 2012 11:45. Posts 9213
Profile Blog # 
Man, every year I look at these and feel sad that I'm not smart and/or hardworking enough to solve these ._. Even AMC/AIME/USAMO problems are incredibly hard for me...

As always, though, interested in how each nation does at the top level. I wonder whether China will break its four-peat this year.
Last edit: 2012-07-11 11:46:41
"It has always been in my observation of human nature, that a man who has any good reason to believe in himself never flourishes himself before the faces of other people in order that they may believe in him."
Old Post

 
 red4ce   United States. July 11 2012 11:52. Posts 7301
Profile Blog # 
I remember taking the AMC in high school. So this is where all the kids who actually do well on it go.
With different expansions on the horizon where do you see yourself in 1-2 years? Flash: I'll be the best in every possible aspect in the game ^^ - Oct 26, 2012
Old Post

  NeMeSiS3   Canada. July 11 2012 11:55. Posts 2969Profile Blog # 
So like... you like add the letters to the numbers right?
FoTG fighting!
Old Post

 
 dudeman001   United States. July 11 2012 12:04. Posts 2123
Profile Blog # 

On July 11 2012 11:55 NeMeSiS3 wrote:
So like... you like add the letters to the numbers right?

I think if you combine the letters and numbers you may be able to form a word that will give you a hint to the answer.

Seriously, major props to high school students who can get max points on these questions.
I was worried about my midterms today, but I saw someone walking around in a cow outfit carrying a skateboard. It was at that moment I knew I was ready.
Old Post

  ne0lith   July 11 2012 13:58. Posts 314Profile # 

On July 11 2012 12:04 dudeman001 wrote:
Seriously, major props to high school students who can get max points on these questions.


Thank you.
Old Post

  ]343[   United States. July 12 2012 09:57. Posts 8153Profile Blog # 
bump: day 2 problems are up! lol #5 geometry. No combinatorics on day 2 --> probably bad for US team... we'll see.


On July 11 2012 11:44 bpgbcg wrote:
Oh wow I spent way to long failing #1. I feel like I'm getting rusty...

Yeah #2 is just AM-GM, but 3 looks interesting... the 2^k bound and the fact that you probably want weirdly overlapping sets indicates probably binary for part a... I haven't looked at part b.


heh, I did #1 quickly, but couldn't get #2 until I read your post. I even tried AM-GM, just in a totally stupid way lol
Last edit: 2012-07-12 09:59:46
move along, move along, just to make it through || RIP KT_Violet <3
Old Post

 
 blankspace   United States. July 12 2012 19:26. Posts 286
Profile Blog # 
lol #4 was a really lame problem... boring and nothing but straightforward casework.

#3 is fun problem though, although I have no idea how to do the second part.
Hello friends
Old Post

 
 bpgbcg   United States. July 13 2012 04:02. Posts 70
Profile # 
Haha for #4, 2x^2y^2+2x^2z^2+2y^2z^2-x^4-y^4-z^4=(x+y+z)(x+y-z)(x-y+z)(-x+y+z)\

I eventually got 3a, I hope/think most of the US team should have gotten 1/2/3a.
I don't have the creativity to think of a signature.
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