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IMO 2024 - Problem 1: A cool Algebra with integer parts and bounding :) 

Shefs of Problem Solving
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14 окт 2024

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Комментарии : 40   
@technolan6015
@technolan6015 3 месяца назад
I've been selected to represent my country (Morocco) in the 2024 IMO after acing at the TST. I've put so much time and effort in, and spent the last three years preparing for this event. Just imagine one second being so much excited to get to that event, but for a very dumb reason, you couldn't attend the IMO, the most prestigious mathematical competition in the world! Do you know why? because my country didn't assume its responsibility to get us our visa to travel to England and didn't apply for them until the LAST DAY! They were expecting to get them in the SAME DAY but of course they didn't. It's the first time it happens in 42 years. Me and my team were left devastated, and our mentors were so disappointed. it's a shame for my country to waste such great talents. Shame on you Morocco. 😔😔😢😢
@dijarademi133
@dijarademi133 3 месяца назад
Thats very bad, inshallah next year this thing wont happen
@technolan6015
@technolan6015 3 месяца назад
@@dijarademi133 I hope so Inchaallah, even if it was my last year where I was able to participate in the IMO
@hazzabarq8929
@hazzabarq8929 2 месяца назад
Assalam o Alaikum my brother, how did you prepare. I have like 2 years of high school left InshaAllah
@technolan6015
@technolan6015 2 месяца назад
@@hazzabarq8929 Simply by working challenging problems from JBMO, china TST, USAMO and past IMO... Of course you need to learn some tricks and theory. I would recommend you the website www.mathraining.be which is a really good website for learning math theory.
@mexn2834
@mexn2834 2 месяца назад
It’s okay man don’t make it worse for you stuff like that happen and look at the bright side tho you now have a lot of knowledge!
@AryanSingh-iu9vt
@AryanSingh-iu9vt 3 месяца назад
Continue with the pen and paper format! It's much clearer than than the white board! Keep Up the good work!
@Sanidhyadixit04
@Sanidhyadixit04 3 месяца назад
true
@tollspiller2043
@tollspiller2043 2 месяца назад
I think the problem was fairly nice but its very susceptible for very bashy solutions - and when you sit in a contest and see that a certain approach works you'd rather write that one fown and move on instead of trying to search for a nicer one. The bash I quickly came up with: Write a=k+c, for c in (0,1) then fo cases on c where we bound it between 1/m and 1/(m+1) and then you can do cases kn parity on k and m, so in total 4 cases, and get contradictions for all but k odd and m = 1, then you can write c=1-b and do again 2 cases on b (bound it again by reciprocals) and finally get contradictions
@Maths_3.1415
@Maths_3.1415 3 месяца назад
What do you want to say about the difficulty of this year's problems?
@filipkrakus8163
@filipkrakus8163 3 месяца назад
hey, just solved the problem, about to watch the video ;). But I'm curious - where can I find the problemu? They're not available at the imo website yet
@dijarademi133
@dijarademi133 3 месяца назад
Aops in contests
@filipkrakus8163
@filipkrakus8163 3 месяца назад
@@dijarademi133 thanks man🙏
@dijarademi133
@dijarademi133 3 месяца назад
@@filipkrakus8163no problem
@krstev29
@krstev29 2 месяца назад
Find them bumped in forum if it's on the day until the mods put them in contests
@xquadsw2448
@xquadsw2448 2 месяца назад
Nice job
@farrukhfarrukh9348
@farrukhfarrukh9348 3 месяца назад
Beautifully problem 🎉
@quite_unknown_1
@quite_unknown_1 3 месяца назад
Solved this one in 10 minutes and Q2 in 30 min. Couldnt get Q3 in 2 hours though. A solution to Q3 would be much appreciated.
@laurynastruskauskas6586
@laurynastruskauskas6586 3 месяца назад
P3 was very hard, none of the romanians did it and not even all of the China team have it. I spoke to a guy from my team who got it, and he basically wrote a 7 page proof with some logic that I only partially understood, his approach is very complicated and im also very interested in whats the official solution
@quite_unknown_1
@quite_unknown_1 3 месяца назад
@@laurynastruskauskas6586 Congrats to ur teammate!
@Hcchvjjvjvjffjfj123
@Hcchvjjvjvjffjfj123 2 месяца назад
@@laurynastruskauskas6586where u from?
@annashakaia9376
@annashakaia9376 3 месяца назад
shef i really need your advice my best vice now i want to improve my geometry im 15 years old and able to do ew imo p4 or p1 and is it good at my age?
@dijarademi133
@dijarademi133 3 месяца назад
I think it is good, I just turned 14 I’m also able to solve p1 or p4 geometry because it is mostly angle chasing and some few lemmas that you need to learn. If you want a very good book to learn for junior and high school level in geometry I use the book that my mentor made it is called “a beautiful journey through Olympiad geometry” and it is also free😊
@user-qk8wg6cj4kkaa
@user-qk8wg6cj4kkaa 3 месяца назад
Yes I also know that book but there are some advanced problems and I’m searching for intermediate ones and if you are 14 and doing imo problems man it’s so good ❤ and also can you give me a tip where are some intermediate problems in this book? 😊
@dijarademi133
@dijarademi133 3 месяца назад
@@user-qk8wg6cj4kkaathank you so much ❤. As my mentor told me for beginners(I mean JBMO level) and a bit intermediate level are the chapter from 1-12. 12 may be a bit of controversial because it teaches you about trigonometry that you don’t need in JBMO level because you only need angle chasing. But if you learn these chapters and do the proposed problems I think you will have a very good base in geometry😊
@user-qk8wg6cj4kkaa
@user-qk8wg6cj4kkaa 3 месяца назад
@@dijarademi133 thanks for reply but I am bit confused if I need jbmo level geometry then can you tell me what part is that in this book like what page or what chapter
@user-qk8wg6cj4kkaa
@user-qk8wg6cj4kkaa 3 месяца назад
and don’t you think that some jbmo shortlists like g 5 and g4 are more difficult problems ?
@krstev29
@krstev29 2 месяца назад
Really nice problem!
@huseyinyigitemekci-fm8vf
@huseyinyigitemekci-fm8vf 3 месяца назад
Who could predict this AAA day 1. After solving p1, will come back here. Can we use here Hermite's identity
@MariusGjika
@MariusGjika 3 месяца назад
NNA*
@huseyinyigitemekci-fm8vf
@huseyinyigitemekci-fm8vf 3 месяца назад
@@MariusGjika they were just like algebra blud. Sometimes problems can be count both such as combinatorial geometry problems. P1 and p2 was like that too
@tahirimathscienceonlinetea4273
@tahirimathscienceonlinetea4273 2 месяца назад
You have wrong answer
@Ishrateinstein14
@Ishrateinstein14 2 месяца назад
REALLY !! THEN TELL THE SOLUTION PLEASE.
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