In front
of Heaven's doors,
Saint-Peter presents you the following game.
Here are five rows of stars, with respectively one, three, five, seven, and nine stars.
We're going to remove alternately as many stars as we wish (but at least one), each time from one nonempty row of our choice.
★
★ ★ ★
★ ★ ★ ★ ★
★ ★ ★ ★ ★ ★ ★
★ ★ ★ ★ ★ ★ ★ ★ ★
You can access Heaven if you're the one taking the last star. You start. Please.
Problem: can you find a winning strategy?
Answer
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