olymmath

IMO 2004 Problem 6

  • Day 2

We call a positive integer alternating if every two consecutive digits in its decimal representation are of different parity.

Find all positive integers nn such that nn has a multiple which is alternating.

Attachments:

logo2004.jpg

Dataset text AI-MO AoPS. Quoted with source.

Official text: IMO 2004 official English paper, page 1.

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Locator imo/2004/p6 · Tag HFG4SR3VA9 · Edit this page on GitHub · Keys: j next, k previous