100 heaps of stones
Source: Tuymaada 2013, Day 1, Problem 1 Juniors and 1 Seniors
July 20, 2013
combinatorics proposedcombinatorics
Problem Statement
heaps of stones lie on a table. Two players make moves in turn. At each move, a player can remove any non-zero number of stones from the table, so that at least one heap is left untouched. The player that cannot move loses. Determine, for each initial position, which of the players, the first or the second, has a winning strategy.K. KokhasEDIT. It is indeed confirmed by the sender that empty heaps are still heaps, so the third post contains the right guess of an interpretation.