There are seven piles with 2014 pebbles each and a pile with 2008 pebbles. Ana and Beto play in turns and Ana always plays first. One move consists of removing pebbles from all the piles. From each pile is removed a different amount of pebbles, between 1 and 8 pebbles. The first player who cannot make a move loses.
a) Who has a winning strategy?
b) If there were seven piles with 2015 pebbles each and a pile with 2008 pebbles, who has a winning strategy? gamecombinatoricswinning strategygame strategy