Question

I will thank whoever gets this right

Let f be a function from Z+ to Z+ where Z+ is the set of positive integers, such that f satisfies these two conditions:



(1) f(n+1) > f(n); that is, f is strictly increasing



And



(2) f(n+f(m)) = f(n)+m+1





Find all values of f (2003)

Answer 1

F is increasing, there are no jumps: if there's a jump from an a to a b
then one of the endpoints would be a limit point of F(S)