Here's a solution from Daniel, Chris,
Danny, Jonathan, Mike, Ashley, and Danielle M.—6th graders
from the Progressive School of Long Island in Merrick, New York

To have guaranteed victory in Grundy’s
Game, you must go second. Whatever your opponent does, you must
split the piles so that after your turn the three piles are 4, 2,
and 1. Their only move is to split the “4 pile” into
3 and 1. Your only move is to split the “3 pile” into
2 and 1. Then they have no moves so you win.
(February 2005)

eeps comments:
Wow! Thanks! The first solution for this
problem! And I have exactly the same comments that I do for Nim
Two Three!, namely...is it right? What do you think?
Also, is it a complete explanation for what
to do? That is, can you use it to decide what move to make in every
situation? 
back to the Answer Book page

