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[Discrete math] Show that it is possible to arrange the numbers 1, 2, . . ....

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Advance Math

[Discrete math]

Show that it is possible to arrange the numbers 1, 2, . . . ,n

in a row so that the average of any two of these numbers

never appears between them. [Hint: Show that it suffices

to prove this fact when n is a power of 2. Then usemathematical

induction to prove the result when n is a power

of 2.]

I saw the solution but I don't understand why permutation pi isusing here.. please explain it with more detail.

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