olymmath

OPM 2003 Problem 3

  • Final day 1

Raquel painted 650650 points in a circle with a radius of 1616 cm. Shows that there is a circular crown with 22 cm of inner radius and 33 cm of outer radius that contain at least 1010 of these points.

Dataset text AI-MO AoPS. Quoted with source.

Official text: Portuguese Mathematical Olympiad 2003 official paper, page 1.

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 pt-opm/2003/p3 · Tag RX5KK7AEE9 · Edit this page on GitHub · Keys: j next, k previous