# Race to 32.768!

Logic Level 3

Alice and Bob play a game with the following rules:

• There are 9 cards on a table with the numbers: $$2,4,8,16,32,64,128,256,512$$
• In each turn a player pick exactly one card.
• Whoever gathers 3 cards with a product of $$32768$$ wins.
• Both players play optimally.
• Alice starts first.

Question: Which player has a winning strategy?

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