olymmath

HMMT 2019 T5

  • Team
  • Answer

Find all positive integers nn such that the unit segments of an n×nn \times n grid of unit squares can be partitioned into groups of three such that the segments of each group share a common vertex.

Dataset text NuminaMath olympiads. Quoted with source.

Show the answer

n \equiv 0,2(\bmod 6)

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 hmmt/2019/t5 · Tag CZC4PQEW57 · Edit this page on GitHub · Keys: j next, k previous