2 piles of cards, one with n cards and the other with m cards
Source: 2005 Cuba MO 1.3
September 15, 2024
combinatoricswinning strategy
Problem Statement
There are two piles of cards, one with cards and the other with cards.
and play alternately, performing one of the following actions in each turn. following operations:
a) Remove a card from a pile.
b) Remove one card from each pile.
c) Move a card from one pile to the other.
Player always starts the game and whoever takes the last one letter wins . Determine if there is a winning strategy based on and , so that one of the players following her can win always.