olymmath

USAMO 1976 Problem 1

  • Day 1

The squares of a 4×74 \times 7 chess board are colored red or blue. Show that however the coloring is done, we can find a rectangle with four distinct corner squares all the same color. Find a counter-example to show that this is not true for a 4×64 \times 6 board.

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 usamo/1976/p1 · Tag 253GQKWRK7 · Edit this page on GitHub · Keys: j next, k previous