olymmath

PAMO 2007 Problem 3

  • Day 1

In a country, towns are connected by roads. Each town is directly connected to exactly three other towns. Show that there exists a town from which you can make a round-trip, without using the same road more than once, and for which the number of roads used is not divisible by 33 . (Not all towns need to be visited.)

Dataset text AI-MO AoPS. 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.

Add a solution

Similar problems

These problems have the most words in common with this statement.

Locator pamo/2007/p3 · Tag EWX8CX0F6N · Edit this page on GitHub · Keys: j next, k previous