Question 22
Given $2012$ rocks divided into groups, a legal move consists of merging two groups into one, provided the new group has at most $51$ rocks.
Two players $A,B$ make legal moves alternately, with $A$ first. Initially there are $2012$ groups of one rock each. A player who cannot make a legal move loses.
Determine which player has a winning strategy and describe it.
Two players $A,B$ make legal moves alternately, with $A$ first. Initially there are $2012$ groups of one rock each. A player who cannot make a legal move loses.
Determine which player has a winning strategy and describe it.