olymmath

UA-UMO 1999 Problem 82

    Is it possible to write numbers in the cells of a 7×77\times7 board in such a way that the sum of numbers in every 2×22\times2 or 3×33\times3 square is divisible by 19991999 , but the sum of all numbers in the board is not divisible by 19991999 ?

    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 ua-umo/1999/p82 · Tag M82FKPV8QH · Edit this page on GitHub · Keys: j next, k previous