Difference between revisions of "2007 IMO Shortlist Problems/A2"
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(<math>\mathbb{N}</math> denotes the set of all integers.) | (<math>\mathbb{N}</math> denotes the set of all integers.) | ||
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+ | == Solution == |
Latest revision as of 08:30, 3 August 2023
Problem
(Bulgaria)
Consider those functions which satisfy the condition
![$f(m+n)\ge f(m)+f(f(n))-1$](http://latex.artofproblemsolving.com/d/a/c/daceeebdfbd55bb788e57a9592376ce8ebfa22f3.png)
for all . Find all possible values of
( denotes the set of all integers.)