# BRILLIAthon

From today, I will start a contest.

LaTeX is $$20$$ points.

Intelligible Solution is $10$ points.

I will not include pictures and animations, but if you choose to use it, I'll award $1$ point for each (out of generosity)

Uniqueness is $10$ points.

And $3$ points for (you may disagree with this, but I see this as an essential part of a solution) using an algorithmic structure.

Total points is $45$. ($43$ excluding the pictures and animations.)

Dates are: $17$th July to $19$th July

Maximum participants (excluding invited people) is $5$. Including the invited participants, the maximum amount of participants is $7$.

The reason for participants restriction is due to my studies and limited time on my BRILLIANT 'shift'.

My BRILLIANT 'shift' is $9:00$am to $3:00$pm. My break is $11:00$ to $11:30$ am and my lunchtime is $12:30$ to $1:30$pm - don't disturb during this time. After $3:00$pm, I am not available till the next day. My studies for Year $10$ and $11$ has primarily shaped my 'shift'.

There will be $5$ problems - $1$ for each day. Time of posting will vary, so be aware.

If you get all $43 \backslash 45$ points, you will receive the title of 'BRILLIAthon Star'. If not all, the highest amount will receive that title. (Hint: consecutive 'BRILLIAthon Star' titles can push your bid for first place.)

All participants will be awarded with shaping one of my problems of their choice

The top $3$ will be awarded with posting a problem for me - if I can solve it, I may post a solution.

The winner's award will be announced at the awards ceremony...

Good luck!

Note by Yajat Shamji
7 months, 3 weeks ago

This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strategies that you used to obtain the solution. Comments should further the discussion of math and science.

When posting on Brilliant:

• Use the emojis to react to an explanation, whether you're congratulating a job well done , or just really confused .
• Ask specific questions about the challenge or the steps in somebody's explanation. Well-posed questions can add a lot to the discussion, but posting "I don't understand!" doesn't help anyone.
• Try to contribute something new to the discussion, whether it is an extension, generalization or other idea related to the challenge.

MarkdownAppears as
*italics* or _italics_ italics
**bold** or __bold__ bold

- bulleted
- list

• bulleted
• list

1. numbered
2. list

1. numbered
2. list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1

paragraph 2

paragraph 1

paragraph 2

> This is a quote
This is a quote
# I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
# I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
MathAppears as
Remember to wrap math in $$...$$ or $...$ to ensure proper formatting.
2 \times 3 $2 \times 3$
2^{34} $2^{34}$
a_{i-1} $a_{i-1}$
\frac{2}{3} $\frac{2}{3}$
\sqrt{2} $\sqrt{2}$
\sum_{i=1}^3 $\sum_{i=1}^3$
\sin \theta $\sin \theta$
\boxed{123} $\boxed{123}$

Sort by:

Sorry, Percy, @Siddharth Chakravarty, and @Yajat Shamji, I will definitely solve all the question but I won't write a long elaborated explanation due to time constraints. Thus, i won't be participating. Good luck to all the three of you!

- 7 months, 3 weeks ago

Yes, that is completely fine, after all, Brilliant is all about learning.

- 7 months, 3 weeks ago

You don't have to post solutions. All you have to do is solve the problem. The solution posting is entirely up to you.

- 7 months, 3 weeks ago

I also have a lot a work pending, so now I don't think I'll participate in the contests. Sorry @Yajat Shamji and @Percy Jackson! I'll definitely solve the problems, though.

- 7 months, 3 weeks ago

Its alright, everyone, who's leaving, I'm late though......LOL

- 7 months, 3 weeks ago

I will participateeee @Yajat Shamji

- 7 months, 3 weeks ago

First participant!

- 7 months, 3 weeks ago

I'll participate! Count me in @Yajat Shamji!

- 7 months, 3 weeks ago

Second participant!

- 7 months, 3 weeks ago

I'm hurt, I ain't invited, but I'd like to participate please!! Makes baby seal face

PS - I'm not really hurt, its no big deal @Yajat Shamji

- 7 months, 3 weeks ago

Oh yes, I just wanted to ask. I cannot seem to invite you until you replied. Could you tell me why @Percy Jackson?

- 7 months, 3 weeks ago

@Hamza Anushath - Dunno, happens with me too, I can't mention anyone if they haven't at least seen the page.

- 7 months, 3 weeks ago

That’s because you can’t just type @Hamza Anushath, you have to type @hamzaanushath, and a table will show up, and you choose the right user.

- 7 months, 3 weeks ago

I know @Jeff Giff , but when the table appears, some other names come, not Yajat Shamji, or Hamza Anushath.

- 7 months, 3 weeks ago

Third participant!

- 7 months, 3 weeks ago

Wow, you are generous, 2 points for pics and animations, I'm just basking in the glow of your generosity. @Yajat Shamji LOL XD

- 7 months, 3 weeks ago

I would like to participate. But I would also like to know when the problems are posted, and when the solutions are expected. Thanks!

- 7 months, 3 weeks ago

Fourth participant!

- 7 months, 3 weeks ago

I’m also in :)

- 7 months, 3 weeks ago

Fifth and final non-invited participant!

- 7 months, 3 weeks ago

@Feng Li mention[9836328:Feng Li]

- 7 months, 3 weeks ago

Update: All participants must register before $15$th July, $11$am.

- 7 months, 3 weeks ago

Update: Since @Mahdi Raza's not willing to post solutions (I totally understand), I request @David Vreken to step up.

- 7 months, 3 weeks ago

@David Vreken, you have less than $2$ hours to say whether you're in or not.

- 7 months, 3 weeks ago

Update: Only $7$ participants are allowed (again, due to limited time and my studies).

So, David Vreken, we're all counting on you now...

- 7 months, 3 weeks ago

Less than $40$ minutes, @David Vreken

- 7 months, 3 weeks ago

- 7 months, 3 weeks ago

Sixth participant!

- 7 months, 3 weeks ago

So lucky!

- 7 months, 3 weeks ago

@Feng Li, mention[9836328:Feng Li]

- 7 months, 3 weeks ago

Thnx @Yajat Shamji

- 7 months, 3 weeks ago

@David Vreken, can you please decide now - in or not?

- 7 months, 3 weeks ago

I can participate if it's not too late. (Sorry, I was sleeping earlier, it looks like it was 4:30 am for me when you first asked :-))

- 7 months, 3 weeks ago

Seventh and final participant for the competiton!

Also, I didn't know you're sleeping, but it's okay.

- 7 months, 3 weeks ago

@Percy Jackson, mention[10420647:Percy Jackson]

- 7 months, 3 weeks ago

What is it @Hamza Anushath

- 7 months, 3 weeks ago

@Hamza Anushath, I need your help - I don't know how to create a table in LaTeX.

- 7 months, 3 weeks ago

My method in hall of fame for Mathathon

- 7 months, 3 weeks ago

Thanks.

- 7 months, 3 weeks ago

- 7 months, 3 weeks ago

It is good to see you grow up so fast, teaching people stuff you yourself never knew before

- 7 months, 3 weeks ago

Plus, is my picture still in your Mathathon @Percy Jackson?

- 7 months, 3 weeks ago

Update: Dates have changed from $27 - 31$ July to $17 - 19$ July due to summer studies.

- 7 months, 3 weeks ago

When's the first problem then, bro? @Yajat Shamji

- 7 months, 3 weeks ago

Update: Once you've posted your solutions, you have until $2:50$pm to edit. After that, I will post the Daily Problem Commentary (basically me being a commentator - sorry if the puns offend you - :D). No more editing after $2:50$pm.

- 7 months, 3 weeks ago

Update: Help from the organiser is allowed.

- 7 months, 3 weeks ago

I haven't learnt chemistry yet.

- 7 months, 3 weeks ago

Just started High School

- 7 months, 3 weeks ago

Oh. There's $2$ problems so you may be able to solve the next one - it's Algebra...

- 7 months, 3 weeks ago

Update: Due to timing of the awards ceremony, there will be no certificates and the winner's prize will be announced at the awards ceremony.

Also, you've got less than $10$ minutes to post the solutions to the problems of Day $3$ and nobody has solved it or posted a solution on it...

- 7 months, 2 weeks ago

For $\sin x = \cos x = \tan x$, there are more than two coordinates that make the equation false, making the question impossible to answer.

- 7 months, 2 weeks ago

In the ranges: $0 \leq x \leq 1$ and $0 \leq y \leq 1$?

- 7 months, 2 weeks ago

x is what radians or degrees? And also I see many co-ordinates as @David Vreken said.

- 7 months, 2 weeks ago

No, it's just co-ordinates.

- 7 months, 2 weeks ago

If 1 $x$ unit is 1 degree, then 90 $x$ units are 90 degrees, where the co-ordinate will be (90,1) and in radians, it will be (pi,1). So which unit it is?

- 7 months, 2 weeks ago

And now you deleted the problem also. Why, because it was wrong?

- 7 months, 2 weeks ago

No, I reposted it.

- 7 months, 2 weeks ago

Unless you had asked the difference of the y-coordinates because ratios don't have units it did not matter but for x-coordinates the units matter.

- 7 months, 2 weeks ago

$\sin x = \cos x$ has a solution of $(\frac{\pi}{4}, \frac{\sqrt{2}}{2})$, but $\tan \frac{\pi}{4} \neq \frac{\sqrt{2}}{2}$, $\sin x = \tan x$ has a solution of $(0, 0)$, but $\cos 0 \neq 0$, and $\cos x = \tan x$ has a solution of $(0.6662, 0.7862)$, but $\sin 0.6662 \neq 0.7862$. That's three coordinates by just assuming at least two of the equations are true.

- 7 months, 2 weeks ago

I have changed it - you can use a graphing calculator.

- 7 months, 2 weeks ago

For the second problem, what do you mean by "connections"?

- 7 months, 2 weeks ago

It's a bit like a magic square.

- 7 months, 2 weeks ago

Only no numbers, just lines.

- 7 months, 2 weeks ago

I'll show you tomorrow, fair?

Because it's $3$pm...

- 7 months, 2 weeks ago

Update: The awards ceremony will happen tomorrow at $11:30$am.

Which means you've got until tomorrow, $11:25$am to post and edit solutions...

- 7 months, 2 weeks ago

I want to leave the contest, please I don't have much time to use for writing solutions for the Brilliathon otherwise the other things which are more important are not done. Also, I wanted more elegant and hard problems plus the changing of the problem's wording has become a mess. Thanks :)

- 7 months, 2 weeks ago

That leaves 3 participants in the contest, I left too, as timezone problem was killing mysleep, and he reduced Uniquness points for posting late :) @Siddharth Chakravarty

- 7 months, 2 weeks ago

I had the same thought for your Mathathon also, but I never got time to reply you back that I wanted to leave. Btw I have remembered the first 100 prime numbers, Yay! I like to memorise special numbers.

- 7 months, 2 weeks ago

First 100 prime numbers??? Btw, I posted your certificate in the Mathathon 2020 Hall of Fame page, check it out............@Siddharth Chakravarty

- 7 months, 2 weeks ago

Yes from childhood, my dad made me a hobby to look and memorise patterns in special numbers.

- 7 months, 2 weeks ago

Oh, great! Did you see the certificate?

- 7 months, 2 weeks ago

Yes I saw it. Great!

- 7 months, 2 weeks ago

Glad you like it! I'm working on a trig calculator, that does all the trig functions, like co secant and secant, do you want to see?

- 7 months, 2 weeks ago

It is a but buggy, coz I'm still fixing it, but here's the link if you wanna see - Javascript Trig Calculator

- 7 months, 2 weeks ago

Nice there, although I would suggest that suppose when you want to type the angle, the whole text should get cleared. Like we have to delete the whole text, and then write the angle.

- 7 months, 2 weeks ago

Of course, I'll think of it, thanks for the idea!

- 7 months, 2 weeks ago

@Percy Jackson, when I clear the second label box to type the round off number, it wouldnt allow me

Your coding is flawed in that part...

- 7 months, 2 weeks ago

Yes, you can type in your number in between and then clear the text leaving the number you have typed so that you can type.

- 7 months, 2 weeks ago

Update: Day $3$, Problem $1$ has changed.

- 7 months, 2 weeks ago

Time's up! It's the end of BRILLIAthon! The awards ceremony will begin in $5$ minutes.

- 7 months, 2 weeks ago