A set of three nonnegative integers
with
is called historic if
. Show that the set of all nonnegative integers can be written as the union of pairwise disjoint historic sets.
%V0
A set of three nonnegative integers $\{x,y,z\}$ with $x < y < z$ is called historic if $\{z-y,y-x\} = \{1776,2001\}$. Show that the set of all nonnegative integers can be written as the union of pairwise disjoint historic sets.
Školjka