RU-ALLRUSSIAN 1965 Problem 13
Given two relatively prime natural numbers r and s, call an integer good if it can be represented as mr + ns with m, n non- negative integers and bad otherwise. Prove that we can find an integer c, such that just one of k, c - k is good for any k. How many bad numbers are there?
Dataset text NuminaMath olympiads. Quoted with source.
Solutions
No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.