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Mar 18, 2014 at 14:40 comment added Douglas Zare @Stefan Kohl: What I meant was that for fixed $m$, if you take $n$ larger than $m^2+2$, then there is no way to win, and you have to lose before the board sum reaches $2^{m^2+2}$.
Mar 18, 2014 at 11:39 comment added Stefan Kohl No -- in case $n < m^2$ you cannot argue in this way.
Mar 18, 2014 at 3:48 history edited Douglas Zare CC BY-SA 3.0
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Mar 18, 2014 at 3:41 history answered Douglas Zare CC BY-SA 3.0