Alice has written on a piece of paper a sequence of numbers, \(13, 16, 19, 22,\) and \(25,\) in that order. She keeps the paper hidden from Bob.

Alice tells Bob that there are exactly 5 numbers, written in order of magnitude, and the differences between adjacent terms are all the same.

Alice asks Bob to guess the *sum* of the numbers. She will allow Bob to ask for any of the numbers as a hint. What is the fewest number of hints Bob would need to correctly guess the sum?

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