IMO Shortlist 2002 problem N1


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2. travnja 2012.
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What is the smallest positive integer t such that there exist integers x_1,x_2,\ldots,x_t with

x^3_1+x^3_2+\,\ldots\,+x^3_t=2002^{2002}\,?
Izvor: Međunarodna matematička olimpijada, shortlist 2002