such that 
and 
,
.
by 
and, for 
,![\[a_n = a_{\lfloor n/2 \rfloor} + a_{\lfloor n/3 \rfloor} + \ldots + a_{\lfloor n/n \rfloor} + 1.\]](http://latex.artofproblemsolving.com/a/5/8/a58bbcbb429bcada079bb810b286a7c243f25c41.png)
such that 
.
be a triangle with orthic triangle 
and orthocenter 
and midpoint of 
as 
.
then prove that 
passes through pole of 
.
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"If it is GGG, it will be GG..."
Hi everyone! Over the past couple of years I have had the pleasure of creating another olympiad geometry contest. My first one can be found here, my second one can be found here, and my third one can be found here.
I’d like to note that LauraZed and I have spoken about posting this test in this forum before, so there should be no issue on that front.
The problems are attached to this post.
As a disclaimer: all these problems are my own -- I wrote them all. However, I do need to mention that these problems are all published in various journals that have problem sections. This is more of a compilation of six interesting problems that have not been posted on AoPS yet.
This contest is somewhere above USAMO/IMO in difficulty. Please sign up by posting in this thread.
I don’t know how to grade bashes, so if you would like to sign up for grading those, I would be more than happy to let you take them.
Hi everyone! Over the past couple of years I have had the pleasure of creating another olympiad geometry contest. My first one can be found here, my second one can be found here, and my third one can be found here.
I’d like to note that LauraZed and I have spoken about posting this test in this forum before, so there should be no issue on that front.
The problems are attached to this post.
As a disclaimer: all these problems are my own -- I wrote them all. However, I do need to mention that these problems are all published in various journals that have problem sections. This is more of a compilation of six interesting problems that have not been posted on AoPS yet.
This contest is somewhere above USAMO/IMO in difficulty. Please sign up by posting in this thread.
I don’t know how to grade bashes, so if you would like to sign up for grading those, I would be more than happy to let you take them.
This post has been edited 6 times. Last edited by wu2481632, Jul 25, 2020, 5:53 AM
) so I won't be doing that, but I hope you all really enjoyed this contest!
