[/quote]
,
,
be the orthocenter of it and 
be any point on the side 
.
are on the segments 
,
and 
are cyclic. The segments 
and 
intersect at 
is a point on 
such that 
is tangent to the circumcircle of triangle 
at 
and 
intersect at 
.
and 
be a finite set, and let 
be the set of all functions from 
be an element of 
be the image of 
for every 
in 
.
.
and 
intersect each other at points 
and 
.
and 
.
be the reflection of 
.
.
satisfying :![\[n^{2p}=m^2+n^2+p+1\]](http://latex.artofproblemsolving.com/7/4/e/74ee592cb8b3f3a3996ea34f40b78fde9d3672fc.png)
and 
are integers and 
is a prime number.
Find all the integers 
be a triangle with incentre 
and circumcircle 
.
and 
be the second intersection points of 
and 
,
meets 
at a point 
,
at a point 
.
and the line through 
.
.
and 
are either parallel or concurrent.
Prove that
is an odd number, let 
be a positive integer. If 
then 
satisfying
and 
Prove that
Y by A_Crabby_Crab, Bear12, PrayingCowboy, Irreplaceable, AlienGirl05
Hello. My forum was the victim of a harmless but frustrating prank...and I need AoPS admin help to reverse it.
This is my forum. It was previously named 'THE ULTIMATE GAME FORUM'.
https://artofproblemsolving.com/community/category-admin/810735
Somebody on staff renamed it to something else for April Fool's day.
While the name was changed, somebody effectively stole our name by making a new forum titled 'THE ULTIMATE GAME FORUM': https://artofproblemsolving.com/community/category-admin/4277841. They then removed themselves to hide their guilt. Can an admin delete this forum so we can get our name of 6 years back?
This is my forum. It was previously named 'THE ULTIMATE GAME FORUM'.
https://artofproblemsolving.com/community/category-admin/810735
Somebody on staff renamed it to something else for April Fool's day.
While the name was changed, somebody effectively stole our name by making a new forum titled 'THE ULTIMATE GAME FORUM': https://artofproblemsolving.com/community/category-admin/4277841. They then removed themselves to hide their guilt. Can an admin delete this forum so we can get our name of 6 years back?
