olymmath

JMO 1998 Problem 5

    On each of 1212 points around a circle we place a disk with one white side and one black side. We may perform the following move: select a black disk, and reverse its two neighbors. Find all initial configurations from which some sequence of such moves leads to the position where all disks but one are white.

    Dataset text AoPS wiki problems. Quoted with source.

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