olymmath

DE-BUNDESWETTBEWERB 2009 Problem 5

  • Round 2

At the start of a game there are three boxes with 2008,20092008, 2009 and 20102010 game pieces Anja and Bernd play in turns according to the following rule: When it is your turn, select two boxes, empty them and then distribute the pieces from the third box to the three boxes, such that no box may remain empty.If you can no longer complete a turn, you have lost. Who has a winning strategy when Anja starts?

Dataset text AI-MO AoPS. Quoted with source.

Official text: Bundeswettbewerb Mathematik 2009 official 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.

Add a solution

Similar problems

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

Locator de-bundeswettbewerb/2009/p5 · Tag MY7WXPQTR4 · Edit this page on GitHub · Keys: j next, k previous