olymmath

DE-BUNDESWETTBEWERB 2010 Problem 2

  • Round 1

There are 99999999 rods with lengths 1,2,...,9998,99991, 2, ..., 9998, 9999 . The players Anja and Bernd alternately remove one of the sticks, with Anja starting. The game ends when there are only three bars left. If from those three bars, a not degenerate triangle can be constructed then Anja wins, otherwise Bernd. Who has a winning strategy?

Dataset text AI-MO AoPS. Quoted with source.

Official text: Bundeswettbewerb Mathematik 2010 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/2010/p2 · Tag GW0CTY9X0N · Edit this page on GitHub · Keys: j next, k previous