MathDB
Iterative FE

Source: IMOC 2023 A1

September 9, 2023
algebra

Problem Statement

Find all functions f:N→Nf:\mathbb{N} \rightarrow \mathbb{N} such that for all positive integers nn, there exists an unique positive integer kk, satisfying fk(n)≤n+k+1f^k(n)\leq n+k+1.
Back to ProblemsView on AoPS