olymmath

KöMaL 2021 B5168

    Each of the integers 1 to 100 is written on a piece of paper. 16 pieces of paper are selected out of the 100 pieces. Is it certain that there will always be four pieces of paper among the selected ones such that the sum of the numbers on two of them equals the sum of the numbers on the other two?

    Official text KöMaL. 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 hu-komal/2021/b5168 · Tag 7NA6E7WDR9 · Edit this page on GitHub · Keys: j next, k previous