# HW 9: Challenge 2(a,b,c)

*Tongzhou, 11/21*

(a) Since needed to be determined firstly.

By definition, .

Since is any partition of ,

Therefore, .

(b) Sidework: I want to have which means I want to determine how far could be away from .

Thus so that .

Now choose . Again I need to determine before I find .

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(c) *By the intuition of (b).*

Let , Choose

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