Difference between revisions of "2001 IMO Shortlist Problems/C4"
m (New page: == Problem == A set of three nonnegative integers <math>\{x,y,z\}</math> with <math>x < y < z</math> is called <i>historic</i> if <math>\{z - y,y - x\} = \{1776,2001\}</math>. Show that t...) |
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Revision as of 18:23, 20 August 2008
Problem
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.
Solution
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