Question: A grad student is working on Algorithm S to solve some problem. On this problem, the grad student came up with an algorithm that can

A grad student is working on Algorithm S to solve some problem. On this problem, the grad student came up with an algorithm that can solve the problem by breaking it up into 10 equal-sized pieces, recursively solving those problems, and combining the solutions together in (n) time. What is the largest size that these recursive calls can be if she/he needs to beat a (n^2 log n) algorithm?

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