olymmath

KöMaL 2016 K528

    The numbers from 1 to 14 are written next to the vertices of a regular heptagon such that the sum is the same on each side (that is, for the two vertices lying on the side). a)a) What is this sum? Show a valid construction. b)b) May there be a vertex without any number written next to it? c)c) What may be the sum of the numbers written next to a particular vertex?

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