MathDB

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?

Problem Statement