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 19701970 to 20192019.

If anybody hasn't posted the official solution in 22 days, I will post it (as a snapshot) and recognition will be lost (last submission will be 23:5823:58pm 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 11). 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
2 weeks, 3 days ago

No vote yet
1 vote

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Comments

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I'm not good enough for IMO :(

Adhiraj Dutta - 2 weeks, 2 days ago

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I'm not good enough for PRMO :(

Vinayak Srivastava - 2 weeks, 2 days ago

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

Sachetan Debray - 2 weeks, 2 days ago

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

Sachetan Debray - 2 weeks, 2 days ago

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@Sachetan Debray Or maybe that's just wishful thinking

Sachetan Debray - 2 weeks, 2 days ago

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

Mahdi Raza - 2 weeks, 2 days ago

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

Sachetan Debray - 2 weeks, 2 days ago

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@Sachetan Debray Ok, this year? And from which state

Mahdi Raza - 2 weeks, 2 days ago

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@Mahdi Raza Yeah, this year. Maharashtra. What was your state?

Sachetan Debray - 2 weeks, 2 days ago

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@Sachetan Debray 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.

Sachetan Debray - 2 weeks, 2 days ago

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

Mahdi Raza - 2 weeks, 2 days ago

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

Sachetan Debray - 2 weeks, 2 days ago

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@Sachetan Debray Thank you Sachetan! I hope that happens!

Mahdi Raza - 2 weeks, 2 days ago

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

Páll Márton - 2 weeks, 2 days ago

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Take a look at the solutions.

A Former Brilliant Member - 2 weeks, 2 days ago

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What's your answer? @Páll Márton

A Former Brilliant Member - 2 weeks, 2 days ago

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

Páll Márton - 2 weeks, 2 days ago

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@Páll Márton Answer is the number of pairs - 22 in your case.

A Former Brilliant Member - 2 weeks, 2 days ago

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@A Former Brilliant Member Yes.

Páll Márton - 2 weeks, 2 days ago

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@Páll Márton LaTeX, please!

A Former Brilliant Member - 2 weeks, 2 days ago

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@A Former Brilliant Member What? LaTeX\LaTeX?

Páll Márton - 2 weeks, 1 day ago

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@Páll Márton Yes!

A Former Brilliant Member - 2 weeks, 1 day ago

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Thanks once again @Yajat Shamji!

A Former Brilliant Member - 2 weeks, 1 day ago

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

A Former Brilliant Member - 2 weeks, 1 day ago

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Also, I have a task for you: can you find IMO solutions from 19591959 to 19991999? (I have got solutions from 20002000 to 20192019).

A Former Brilliant Member - 2 weeks, 1 day ago

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

Páll Márton - 2 weeks, 1 day ago

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@Páll Márton Can you find ones in English? And thank you! Also, I don't need solutions from 20002000 to 20032003 - I have already got them. @Páll Márton

A Former Brilliant Member - 2 weeks, 1 day ago

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@Yajat Shamji...

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

Click here for all the IMO solutions

A Former Brilliant Member - 2 weeks, 1 day ago

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@A Former Brilliant Member I need PDFs! But, @Páll Márton has reduced the search - I now only need solutions from 195919691959 - 1969.

Nice try, @Hamza Anushath, though!

A Former Brilliant Member - 2 weeks, 1 day ago

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

A Former Brilliant Member - 2 weeks, 1 day ago

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Is this good?

Páll Márton - 2 weeks, 1 day ago

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It's in English, yes?

A Former Brilliant Member - 2 weeks, 1 day ago

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Yes?

Páll Márton - 2 weeks, 1 day ago

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@Páll Márton I need PDFs, sorry! But really good effort!

A Former Brilliant Member - 2 weeks, 1 day ago

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@A Former Brilliant Member And this one?

Páll Márton - 2 weeks, 1 day ago

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@Páll Márton I have already got this document - I now need IMO solutions from 19591959 to 19691969!

A Former Brilliant Member - 2 weeks, 1 day ago

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@A Former Brilliant Member 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.

Páll Márton - 2 weeks, 1 day ago

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@Páll Márton Thanks for shortening the search!

:D

A Former Brilliant Member - 2 weeks, 1 day ago

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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.

Páll Márton - 2 weeks ago

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

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

Páll Márton - 2 weeks ago

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@Páll Márton 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}

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@Páll Márton Also, I can only solve 28.19%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...

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@A Former Brilliant Member @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?

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@A Former Brilliant Member ProblemssolvedProblemsattempted\frac{Problems solved}{Problems attempted}100 * 100

Problems solved and attempted are in Stats.

A Former Brilliant Member - 1 week, 6 days ago

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@A Former Brilliant Member 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.

Sachetan Debray - 2 weeks ago

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

A Former Brilliant Member - 1 week, 6 days ago

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@A Former Brilliant Member Preachy. Yeah, I meant to delete this comment. i can be kind of insensitive at times

Sachetan Debray - 1 week, 6 days ago

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@Sachetan Debray No, peachy...

A Former Brilliant Member - 1 week, 6 days ago

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@A Former Brilliant Member OK, I'm unfamiliar with its use in that way.

Sachetan Debray - 1 week, 6 days ago

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

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

A Former Brilliant Member - 1 week, 6 days ago

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@A Former Brilliant Member that's all right then

Sachetan Debray - 1 week, 6 days ago

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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.

Isaac YIU Math Studio - 2 weeks, 1 day ago

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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...

A Former Brilliant Member - 2 weeks, 1 day ago

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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...

A Former Brilliant Member - 2 weeks, 2 days ago

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I haven't even learnt the basics!

Vinayak Srivastava - 2 weeks, 2 days ago

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

A Former Brilliant Member - 2 weeks, 2 days ago

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@A Former Brilliant Member I got it correct(guessed it though)!

Vinayak Srivastava - 2 weeks, 2 days ago

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@Vinayak Srivastava Great! And answer to my previous comment...

A Former Brilliant Member - 2 weeks, 2 days ago

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@Hamza Anushath, look above...

A Former Brilliant Member - 2 weeks, 1 day ago

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

Please?

A Former Brilliant Member - 2 weeks, 1 day ago

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(°U° )

:D

Thnx a lot @Yajat Shamji

A Former Brilliant Member - 2 weeks, 1 day ago

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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!

A Former Brilliant Member - 2 weeks, 1 day ago

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@A Former Brilliant Member On it sir!

A Former Brilliant Member - 2 weeks, 1 day ago

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

A Former Brilliant Member - 2 weeks, 1 day ago

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Nobody has solved 20182018, Problem 44, Day 22 yet...

A Former Brilliant Member - 2 weeks, 1 day ago

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

Páll Márton - 2 weeks, 1 day ago

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

A Former Brilliant Member - 2 weeks, 1 day ago

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@A Former Brilliant Member I must do everything online too. In our school we had to photograph the copybooks.

Páll Márton - 2 weeks, 1 day ago

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@A Former Brilliant Member The size of the pictures The size of the pictures

Páll Márton - 2 weeks, 1 day ago

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@Páll Márton No way! Check out this:

But, before, it was over 55GB!

A Former Brilliant Member - 2 weeks, 1 day ago

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Solved, no solution...

A Former Brilliant Member - 2 weeks, 1 day ago

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Does anybody want me to post any Geometry questions or Number Theory questions from the 20162016 paper? If so, ask now. @Hamza Anushath , @Zakir Husain , @Mahdi Raza , @Alak Bhattacharya

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

Sahar Bano - 2 weeks ago

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