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 such that has a multiple which is alternating.
Attachments:

Dataset text AI-MO AoPS. Quoted with source.
Official text: IMO 2004 official English paper, page 1.
Solutions
No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.