by 
different methods. The same inequality can be used twice but in different ways, dm me if you have any question about the rules.
be the orthocenter of acute triangle 
,
be the foot of the altitude from 
to 
,
be the reflection of 
.
intersects line 
and 
.
.
for which the sum ![\[U=\sum_{n=1}^{2023}\left\lfloor\dfrac{n^{2}-na}{5}\right\rfloor\]](http://latex.artofproblemsolving.com/6/b/0/6b010978a55642b7f7aabb2df2f7cf45c9db937a.png)
is an integer strictly between 
and 
.
.
denotes the greatest integer that is less than or equal to 
.
weights, each weighing 
and another 
weights with 
each. Write a algorithm that determines the ways in which a scale can be balanced with a weight 
.
Y by peelybonehead, Geometry285, Susanssluk, think4l
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This post has been edited 1 time. Last edited by follincan, Aug 15, 2023, 3:56 PM
