be a square with 
side length and with center 
.
is drawn where point 
lies on line 
.
numbers 
,
where 
is the number of times the number 
appears in the list. So, for example, for the list 
,
.
numbers. Then he asked him to apply the program to the resulting list, and so on, until a number greater than or equal to 
appears in the list. Find the largest value of 
,
table is colored black or white. Every cell on table border is black. It is known, that in every 
square there are cells of two colors. Prove, that exist 
(use in a problem for junior) to practice. Can anyone share to me?
Y by Adventure10, Mango247
Given a rectangular parallelepiped 
with the bases 
, the edges 
and 
. Show that there exists a triangle with the sides equal to the distances from 
to the diagonal 
of the parallelepiped. Denote those distances by 
. Find the relationship between 
.
with the bases 
, the edges 
and 
. Show that there exists a triangle with the sides equal to the distances from 
to the diagonal 
of the parallelepiped. Denote those distances by 
. Find the relationship between 
.This post has been edited 1 time. Last edited by parmenides51, Aug 20, 2018, 2:46 PM
Reason: better formulation
Reason: better formulation
