I think this is an equivalent question:- let x be the maximum possible value of R(w) for all w. What is the next highest integer above x?
Do you agree that this is an equivalent question? Does this help you to move forward? If not, then please tell us your own thoughts about the question (what things could you do that might help to move forward).
What is the context of this problem? There is more than one way to solve this, and the choice might depend on the context. I.e., in a calculus class you might be expected to look at the derivatives.
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