olymmath

BALTIC-WAY 2016 Problem 14

    A cube consists of 434^{3} unit cubes each containing an integer. At each move, you choose a unit cube and increase by 1 all the integers in the neighbouring cubes having a face in common with the chosen cube. Is it possible to reach a position where all the 434^{3} integers are divisible by 3 , no matter what the starting position is?

    Dataset text NuminaMath olympiads. 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

    Locator baltic-way/2016/p14 · Tag GYZM473KSK · Edit this page on GitHub · Keys: j next, k previous