olymmath

OPM 2009 Problem 1

  • Final day 1

A circumference was divided in nn equal parts. On each of these parts one number from 11 to nn was placed such that the distance between consecutive numbers is always the same. Numbers 1111 , 44 and 1717 were in consecutive positions. In how many parts was the circumference divided?

Dataset text AI-MO AoPS. Quoted with source.

Official text: Portuguese Mathematical Olympiad 2009 official paper, page 1.

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