Feeling bored in the afternoon, the Oasis
animals decide to play a game that Pumbaa
invented. In this game 'n' animals stand
around in a circle, and Pumbaa tells them to
write a value, of either +1 or -1. He then
performs the following operation as many
times as he wants: between all the
consecutive numbers on the circle, he writes
their product, and the initial n numbers are
deleted. Suppose that for some n for any
initial arrangement of +1 and -1 on the
circle, after finitely many operations all the
numbers on will be equal to +1. What is the
sum of all such n lying between 1 and 34(included)?
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Answer:
sorry but it take so much time
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