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2001 IMO Shortlist Problems/C4

Revision as of 17:23, 20 August 2008 by Minsoens (talk | contribs) (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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Problem

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.

Solution

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Resources

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