A function $$𝑓$$ is defined on the set of integers such that for any two integers $$𝑚$$ and $$n$$, $$f(mn + 1) = f(m)f(n) - f(n) - m + 2$$ holds and $$f(0)=1$$. Determine the largest positive integer $$𝑁$$ such that $$\sum_{k=1}^{N}f(k) < 100$$.

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