olymmath

HMMT 2021 C6

  • Combinatorics
  • Answer

A light pulse starts at a corner of a reflective square. It bounces around inside the square, reflecting off of the square's perimeter nn times before ending in a different corner. The path of the light pulse, when traced, divides the square into exactly 2021 regions. Compute the smallest possible value of nn.

Dataset text NuminaMath olympiads. Quoted with source.

Show the answer

129

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/2021/c6 · Tag PDMAAS5ZC5 · Edit this page on GitHub · Keys: j next, k previous