IMC Trading–styleTrader InternQuant Trader InternQuestion #46

You and a taxman are playing a game with N cards, each labeled with a natural number from 1 to N. You can pick a card only if at least one of its factors is still on the table, and for every card you pick, the taxman takes all available factors of that card from the table. How do you maximize your score?

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State the assumptions, try a simple case, then work toward a general solution. Check the result and explain how it changes if an assumption changes.

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