# International Mathematical Olympiad (IMO) Hall of Fame

Hi, guys

From today, I will be posting select problems from the IMO papers!

Whoever solves this and gives the official solution first will be recognised.

You can also tell me which IMO paper you want the next question to be from - I have a full library of UKMT and IMO past papers and solutions

For now, I haven't got individual IMO solutions so, for now, the IMO questions will come from the papers from $1970$ to $2019$.

If anybody hasn't posted the official solution in $2$ days, I will post it (as a snapshot) and recognition will be lost (last submission will be $23:58$pm on the day after submitting the problem.) (unless somebody has already posted a solution - I will check if it's the official solution - if it's not, the person's solution will be mentioned as an attempt (must have bits of official solution - minimum $1$). If it's the official solution, the person will be recognised as a true solver.

A full list will appear below in sections:

Algebra:

2019, Problem 4, Day 2 - Hamza Anushath - Attempt goes to Alak Bhattacharya for including one bit of the official solution.

2019, Problem 1, Day 1 - Lost - Attempt goes to Tom Englesman for including bits of official solution.

2018, Problem 2, Day 1 - Lost - Attempt goes to nobody

2018, Problem 3, Day 1 - Hamza Anushath - Attempt goes to nobody

2018, Problem 4, Day 2 - Lost - Attempt goes to nobody

2018, Problem 5, Day 2 - Lost - Attempt goes to nobody

2017, Problem 1, Day 1 - Lost - Attempt goes to Ved Pradhan for including one bit of the official solution.

2017, Problem 2, Day 1 - Lost - Attempt goes to nobody

2017, Problem 5, Day 2 - Lost - Attempt goes to nobody

2017, Problem 6, Day 2 - Lost - Attempt goes to nobody

Number Theory:

2019, Problem 3, Day 1 - Lost - Attempt goes to nobody

Geometry:

2017, Problem 3, Day 1 - Lost - Attempt goes to nobody

Note by A Former Brilliant Member
7 months ago

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Sort by:

I'm not good enough for IMO :(

- 7 months ago

I'm not good enough for PRMO :(

- 7 months ago

I thought I was good enough for both...Reality set in after I attempted PRMO for the 1st time.

- 7 months ago

I might not be able to attempt again...although if I do, I think I can get till RMO

- 7 months ago

Or maybe that's just wishful thinking

- 7 months ago

When did you give PRMO, and what was your score?

- 7 months ago

I don't remember the score, but I know it was two marks below the cutoff

- 7 months ago

Ok, this year? And from which state

- 7 months ago

Yeah, this year. Maharashtra. What was your state?

- 7 months ago

The thing was-I focused too much on geometry, and ignored the number theory and algebra. Later I realised I should have done the opposite. I did manage to solve a few questions, but took too much time for them. My friend though-he wrote the INMO in 2020, same as you did. I didn't ask him his score as our Pre-Boards were going on, and then there was Boards. But he got a good score in RMO- 40 or above.

- 7 months ago

Ohh, All the best for next year (or maybe for the next two months (if they allow (due to COVID)))

- 7 months ago

Thanks. All the best to you too (if you're giving it). Maybe you'll write IMO next year, or in 2022.

- 7 months ago

Thank you Sachetan! I hope that happens!

- 7 months ago

How can I submit my answer in the first problem? The answer must be an integer.

Take a look at the solutions.

k=1;n=1 and k=3;n=2

Answer is the number of pairs - $2$ in your case.

Yes.

What? $\LaTeX$?

Yes!

Thanks once again @Yajat Shamji!

Well, the solution is like the official, so...

Also, I have a task for you: can you find IMO solutions from $1959$ to $1999$? (I have got solutions from $2000$ to $2019$).

Hahaha! I have solutions from 1959 to 2003, but not in English.

Can you find ones in English? And thank you! Also, I don't need solutions from $2000$ to $2003$ - I have already got them. @Páll Márton

All the questions are in the link

Click here for all the IMO questions

This may not ordered, but it may have all the solutions for the IMO questions

I need PDFs! But, @Páll Márton has reduced the search - I now only need solutions from $1959 - 1969$.

Nice try, @Hamza Anushath, though!

@Yajat Shamji, please check my other comment on this comment thread

It's in English, yes?

Yes?

I need PDFs, sorry! But really good effort!

I have already got this document - I now need IMO solutions from $1959$ to $1969$!

I don't understand. You need solutions from 1959 to 1969. And in this pdf you can see the solutions from 1959 to 1969 and from 1969 to 2009.

Thanks for shortening the search!

:D

It is very difficult for me to understand these tasks in English. I think everyone can find these tasks on the internet in the language that the best for them, and not have to share them here.

You are right, @Páll Márton. But I want to post as much IMO as I can. Besides, most of my ideas are rubbish anyways...

Me too. I can create logic problems based on ambiguous words but not in English.

Take a look at my profile and look through the questions before I started the IMO series. Is there not one problem where I have not got negative criticism?$^{\infty}$

Also, I can only solve $28.19\%$ of all BRILLIANT problems.

And, when I give a solution, either I am forced to delete it or bear negative criticism...

Clearly, the platform of BRILLIANT has decided I am a bad mathematician who tinkers too much...

And, clearly, I have been branded as a insane mathematical outcast by the BRILLIANT community...

@Yajat Shamji, I regard you (and others might as well) to be a great person in mathematics. But only one question:

How did you get your wrong/right percentage? Did you calculate it (great work if you did, I never thought of that...) or is it shown somewhere @Yajat Shamji?

$\frac{Problems solved}{Problems attempted}$$* 100$

Problems solved and attempted are in Stats.

Look most of the great scientists-and mathematicians-have branded outcasts at some point or the other.

So at least you're in good company. Don't take it that seriously.

Second, criticism is a very useful thing. if valuable, you can profit from it. If not, you can simply ignore it.

You feel like a bad mathematician now because yo are comparing yourself to genii like Ramanujan, Gauss, etc. But, dude, this is an infinite world, with infinite variety. Where would the fun be if all of us could do whatever we wanted to do in a millisecond, and no work required? how would it be called learning otherwise?

I suggest take some time off Math. Explore other interests, then when you feel ready, come back. There are lots of things you can do to learn (not involving brilliant).

And hone your skills to the utmost possible, then people will still start respecting you. And if some still don't-well, at least they would have become fewer, right?

People disrespect greats-Messi, Newton, Paul Erdos, etc. all the time. Do they take it seriously?

But take criticism-which is valid-sportingly, and use it to improve your skills. That way, you can profit immensely.

Just a note-Einstein did math very slowly. He didn't memorize anything. Yet he said it helped him because he could understand things better that way, their whys and not just their hows.

Not saying you should copy that blindly-you should never do that-but try to get how and why, think on that. Keep moving even if you fail, for failure is like friction-it helps us walk, or run. Do what is right(not in the sense of morality), not necessarily what most people do, or what you want to do now-because the latter changes continuously, the former always remains the same.

Hope you got what I'm trying to say.

- 7 months ago

No, I don't get it. Also, you're becoming peachy...

Preachy. Yeah, I meant to delete this comment. i can be kind of insensitive at times

- 7 months ago

No, peachy...

OK, I'm unfamiliar with its use in that way.

- 7 months ago

I'm trying to say, don't delete it:

Peachy (North American) means fine / very satisfactory...

that's all right then

- 7 months ago

I mean, it is annoying that you always tag us again and again. And for getting solutions, there are a lot of answers in AOPS (Art of Problem Solving) website.

- 7 months ago

What? All I want to do is to show people this. And why not tag. I understand your frustration, but, according to me, this is the best way to get people...

Seriously, @Vinayak Srivastava, @Adhiraj Dutta? I called you because I know you can do it. Believe in yourself. Besides, all the questions look hard but they only require up to A-Level knowledge...

I haven't even learnt the basics!

- 7 months ago

What, you can't attempt even the first question I have posted?...

I got it correct(guessed it though)!

- 7 months ago

Great! And answer to my previous comment...

@Hamza Anushath, look above...

@Hamza Anushath , look above in the IMO Hall of Fame...

(°U° )

:D

Thnx a lot @Yajat Shamji

Well, I changed the date and after seeing what you did, I thought it would be fair to give you the recognition.

Also, check out the 2018 problems, quick!

On it sir!

No need to call me sir, @Hamza Anushath. Call me Yaj (my new nickname for friends...).

Ooh...lovely nicknames for the lovely couple..@NSCS 747 @Frisk Dreemurr

evil chuckling in the distance

evil chuckling growing to an evil laugh

MUAHAHAHAHAAHAHAHA

- 2 months, 2 weeks ago

oh shit, oh god, oh fu-

deep inhale

oh fuck

- 2 months, 2 weeks ago

I said it, I said it, I said it

"day after day, we stray further from god"

- 2 months, 2 weeks ago

Not really...I've said that multiple times, but Dad doesn't seem to stray away from me :P

- 2 months, 2 weeks ago

fuck that how are you not angry she leaked the fucking nuke

- 2 months, 2 weeks ago

See, now you are expressing your desires like how you want to...do the frick with...him... lmfao

- 2 months, 2 weeks ago

lol 

- 2 months, 2 weeks ago

frisk fucking delete the abyss trick in your big brain time note you fucking idiot the public is not ment to know and i thught of all people you would know this was ment to be a fucking secret and now lam le knows and if he has actually made a fucking million line abyss then brilliant will be kicking all of our asses

- 2 months, 2 weeks ago

It is deleted now, all removed

- 2 months, 2 weeks ago

Did you actually check the note now, not a trace to be seen

Give a sec, I have another idea

- 2 months, 2 weeks ago

Nobody has solved $2018$, Problem $4$, Day $2$ yet...

Refresh the page! Maybe I write a solution, but I finished the school today, and I must go to the school.

I was doing school as well online. I go to physical school on Friday...

I must do everything online too. In our school we had to photograph the copybooks.

The size of the pictures

No way! Check out this:

But, before, it was over $5$GB!

Solved, no solution...

Does anybody want me to post any Geometry questions or Number Theory questions from the $2016$ paper? If so, ask now. @Hamza Anushath , @Zakir Husain , @Mahdi Raza , @Alak Bhattacharya

@Yajat Shamji - One of your problem is wrong see 2017, Problem 1, Day 1 see the reports

- 7 months ago