tstst recap ig
by OronSH, Jun 28, 2024, 4:55 AM
ok heres the story of what might be my best contest performance ever
day 1.
i read p1, draw a picture and pretty quickly find the bound that rules out
at this point im kind of unsure about the answer but then i get the idea of the construction for 
with geometric sequences. then i write up, im done in like 
minutes or so.
then i read p2. i try small cases and get the idea that the coefficients of
should be nice. then i try a small case but this time i dont simplify anything, which immediately gives the coefficients interpreted combinatorially. then i find the closed form from small cases and show it inductively. then for 
i find a nice combo argument that works, done in 
hours.
i try p3 for a while and it reminded me of this one problem from woot induction handout, so i try to generalize it and eventually i get a construction. unfortunately i dont get enough time to prove it.
final score: 772
day 2.
p4 is geo. once i draw the diagram i find the main idea in like
minutes and the problem is solved within 
then i write it up
i start trying p5. i was not really in the mood to do oly for some reason after already solving p4 so i just try the dumbest thing possible which is to just bash out the recursion. which somehow works, my solution basically inducts on some difference once you define six different colors and color each integer one of them. in total this problem takes me like hours
then p6. im pretty convinced the answer is no after replacing
by 
when i have 
minutes left i start to realize that none of my progress is worth anything, so i try writing some new substitutions on my submission. and then i realize that two of them canceled and my earlier work solves the problem. with 
minutes left my solution is written up very badly and in just one page. as i leave the testing center i am still not sure if i solved it.
final score: 777
day 3.
p8 is geo so i start on it. immediately notice second isogonality, then later realize i can also use first isogonality. am unsure how to continue until i angle chase some more and realize i can use ddit (first time ever using ddit, in or out of contest!) which finishes. done in an hour and a half.
then p7 is some weird alg which i was feeling kind of tired to solve so i just kind of sign bash and it just kind of works out. the details are kind of complicated because you can reduce cases to other cases but i didnt really care atp. this probably took me like an hour and a half to solve and write up.
i start trying p9 but barely make progress and never find the construction. on my submission i somehow got the right answer for
but the wrong one for 
which should be much easier to get lol. also my general answer was wrong rip.
final score: 770
overall comments: very surprised about no docks/fakesolves given how convoluted my solutions were and how badly written most of them were.
yay
day 1.
i read p1, draw a picture and pretty quickly find the bound that rules out
at this point im kind of unsure about the answer but then i get the idea of the construction for 
with geometric sequences. then i write up, im done in like 
minutes or so.then i read p2. i try small cases and get the idea that the coefficients of
should be nice. then i try a small case but this time i dont simplify anything, which immediately gives the coefficients interpreted combinatorially. then i find the closed form from small cases and show it inductively. then for 
i find a nice combo argument that works, done in 
hours.i try p3 for a while and it reminded me of this one problem from woot induction handout, so i try to generalize it and eventually i get a construction. unfortunately i dont get enough time to prove it.
final score: 772
day 2.
p4 is geo. once i draw the diagram i find the main idea in like
minutes and the problem is solved within 
then i write it upi start trying p5. i was not really in the mood to do oly for some reason after already solving p4 so i just try the dumbest thing possible which is to just bash out the recursion. which somehow works, my solution basically inducts on some difference once you define six different colors and color each integer one of them. in total this problem takes me like
hoursthen p6. im pretty convinced the answer is no after replacing
by 
when i have 
minutes left i start to realize that none of my progress is worth anything, so i try writing some new substitutions on my submission. and then i realize that two of them canceled and my earlier work solves the problem. with 
minutes left my solution is written up very badly and in just one page. as i leave the testing center i am still not sure if i solved it.final score: 777
day 3.
p8 is geo so i start on it. immediately notice second isogonality, then later realize i can also use first isogonality. am unsure how to continue until i angle chase some more and realize i can use ddit (first time ever using ddit, in or out of contest!) which finishes. done in an hour and a half.
then p7 is some weird alg which i was feeling kind of tired to solve so i just kind of sign bash and it just kind of works out. the details are kind of complicated because you can reduce cases to other cases but i didnt really care atp. this probably took me like an hour and a half to solve and write up.
i start trying p9 but barely make progress and never find the construction. on my submission i somehow got the right answer for
but the wrong one for 
which should be much easier to get lol. also my general answer was wrong rip.final score: 770
overall comments: very surprised about no docks/fakesolves given how convoluted my solutions were and how badly written most of them were.
yay
![[asy]
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label(slant(-gr^.5)*"\huge{\textcalligra{I Admit Orz}}",(1.2,gr),N);
[/asy]](http://latex.artofproblemsolving.com/5/9/b/59b4ddd1b7ab81af55076274139e48bd13d3818f.png)
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