2 player game with stones, 1 bowl of p stones and one bowl of q stones
Source: 1992 German Federal - Bundeswettbewerb Mathematik - BWM - Round 1 p1
November 20, 2022
combinatoricsgamegame strategy
Problem Statement
There are two bowls on the table, in one there are , in the other stones ( ). Two players and take turns playing, starting with .
Who's turn:
takes a stone from one of the bowls
or removes one stone from each bowl
or puts a stone from one of the bowls into the other.
Whoever takes the last stone wins.
Under what conditions can and under what conditions can force the win?
The answer must be justified.