olymmath

SE-SKOLORNAS 2007 Problem 4

    There are a number of arcs on the edge of a circular disk. Each pair of arcs has the least one point in common. Show that on the circle you can choose two diametrical opposites points such that each arc contains at least one of these two points.

    Dataset text AI-MO AoPS. Quoted with source.

    Solutions

    No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.

    Add a solution

    Similar problems

    These problems have the most words in common with this statement.

    Locator se-skolornas/2007/p4 · Tag JMMRX5RGMW · Edit this page on GitHub · Keys: j next, k previous