NMO Problem 2

A circumference was divided in \(n\) equal parts. On each of these parts one number from \(1\) to \(n\) was placed such that the distance between consecutive numbers is always the same. Numbers \(11\), \(4\) and \(17\) were in consecutive positions. In how many parts was the circumference divided?This problem is from the NMO.This problem is part of this set.

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