based on master theorem, I arrived at $$n^{2} ,f(n)=4n^6$$. So is the answer $$\theta(4n^6)$$ or is it just $$\theta(n^6)$$. And also, can this be solved with substitution method?
2026-04-04 04:57:48.1775278668
Master theorem for $T(n) = 9T(\frac{n}{3}) +4n^6$
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A hint for you - after $k$ substitutions you should have:
$$T(n) = 9^kT(\frac{n}{3^k}) + 4n^6\sum_{i=0}^{k-1}c^i$$
where $c$ is a constant.