olymmath

Putnam 1964 A6

  • Session A

Let SS be a finite subset of a straight line. Say that SS has the repeated distance property if every value of the distance between two points of SS (except the longest) occurs at least twice. Show that if SS has the repeated distance property then the ratio of any two distances between two points of SS is rational.

Dataset text AI-MO AoPS. 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

Similar problems

These problems have the most words in common with this statement.

Locator putnam/1964/a6 · Tag 6ATD582CF8 · Edit this page on GitHub · Keys: j next, k previous