Problem

[108]

\(\qquad\)We call a positive integer \(\it{alternating}\) if every two consecutive digits in its decimal representation are of different parity. \(\\\qquad\)Find all positive integers \(n\) such that \(n\) has a multiple which is alternating.

Solution

Attributes Олімпіадна
Source International Mathematical Olympiad
Year 2004
Number 6
Difficulty 10.0
Themes