[/quote]
,
so that the sum of its edges' lengths is minumum.
find, in terms of 
for which there is a set of 
distinct positive integers that has sum greater than 
with 
equilateral. Let 
be the area of the triangle of sides 
,
and 
.
where 
is the circumradius and 
is the volume of the tetrahedron.
,
be the orthocenter of 
.
at 
.
at 
be the midpoint of 
,
meet 
.
at 
.
is tangent to 
where 
.
such that for every 
we have 
.
there exists 
such that![\[u<P(n)-\lfloor P(n)\rfloor <v.\]](http://latex.artofproblemsolving.com/9/4/a/94a8cb1f064e1dea37e8894fb4fd4e34c4c6c845.png)
Generalize the problem!
which moves on line 
towards 
.
.
,
.
and 
intersect at the point 
.
,
.
are chosen from 0 to 1. What is the probability that their positive difference is more than 
?
?
satisfying the equation![\[
(f(x+y))^2= f(x^2) + f(2xf(y) + y^2), \quad \forall x, y \in \mathbb{R}.
\]](http://latex.artofproblemsolving.com/2/5/e/25eed911f303ed7cc4e03765a2f943ad4641c451.png)
in the plane of a square 
for which ![\[\max (PA, PC)=\frac1{\sqrt2}(PB+PD).\]](http://latex.artofproblemsolving.com/3/9/8/3984b1970837a85af0bac93fd711843630a1fd99.png)
such that 
and 
for any real numbers 
and 
.
,
at 
.
meets 
.
.
Y by PikaPika999
9Poll:
How was the difficulty of the problems compared to last year?
164 Votes
59%
(96)
25%
(41)
4%
(7)
5%
(9)
2%
(4)
4%
(7)
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I personally thought the problems were much easier than last year, but I didn't really improve as much as I would of liked to improve.
