Question 1
A1 (GBR 3), IMO 1. The function $f(n)$ is defined for all positive integers $n$ and takes on nonnegative integer values. Also, for all $m,n$,
$f(m+n)-f(m)-f(n)=0$ or $1$;
$f(2)=0$, $f(3)>0$, and $f(9999)=3333$.
Determine $f(1982)$.
$f(m+n)-f(m)-f(n)=0$ or $1$;
$f(2)=0$, $f(3)>0$, and $f(9999)=3333$.
Determine $f(1982)$.