olymmath

JBMO 2021 Problem 4

  • Paper
  • Answer

Let MM be a subset of the set of 2021 integers {1,2,3,…,2021}\{1,2,3, \ldots, 2021\} such that for any three elements (not necessarily distinct) a,b,ca, b, c of MM we have ∣a+b−c∣>10|a+b-c|>10. Determine the largest possible number of elements of MM.

Dataset text NuminaMath olympiads. Quoted with source.

Show the answer

1006

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 jbmo/2021/p4 · Tag 656R2DRT39 · Edit this page on GitHub · Keys: j next, k previous