Two players start with $1$ and take turns multiplying it by $2$ or $3$ or $4$ ... or $9$. The first player to make the number $\ge 1000$ wins. Who has a winning strategy?
My attempt: obviously $112$ is a losing position since $112*9=1008$. Then
it's a winning position for all numbers between $5...
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Recently I've come across the tag "generalization", see here. It's relatively new and there is only one question (Edit: now removed) under it. However, I don't think it's that useful, taking into consideration there isn't any mathematical content associated with it. On the other hand, it's quite ...
New year, new tag management thread.
Rules of the game are basically the same:
Post your suggestion as an answer here if you see
A particularly bad tag (a rule of thumb: «if I can't imagine a person classifying a tag as either interesting or ignored, I'm getting rid of it»),
A tag that shoul...
