Peter and Jane take turns subtracting perfect squares from a given whole number and the person who subtracts the last number to get zero is the winner. If the whole number is 29, and Peter is the first player. what perfect number must he subtract in order for him to definitely win?

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16
then Jane would have to subtract either 4 or 9,
then jackpot for Peter

Er.. But Jane can subtract 1 and 16 also..

Yeah ... it seems that way.

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