olymmath

BALTIC-WAY 2018 Problem 7

  • Answer

On a 16×1616 \times 16 torus as shown all 512 edges are colored red or blue. A coloring is good if every vertex is an endpoint of an even number of red edges. A move consists of switching the color of each of the 4 edges of an arbitrary cell. What is the largest number of good colorings such that none of them can be converted to another by a sequence of moves?

Dataset text NuminaMath olympiads. Quoted with source.

Show the answer

4

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/2018/p7 · Tag 1A7KDHEGRB · Edit this page on GitHub · Keys: j next, k previous