Define a function f:R→Rf:\mathbb{R} \to \mathbb{R} as follows: f(x)={1if x is divisible by 2−1if x is divisible by 3, but not by 20otherwisef(x) = \begin{cases} 1 &\text{if } x \text{ is divisible by 2} \\ -1 &\text{if } x \text{ is divisible by 3, but not by 2} \\ 0 &\text{otherwise} \end{cases} What is the value of the following expression? ∑i=1600f(i)\sum_{i=1}^{600}f(i) (Hint: It might help to write out the first several values of f(i)f(i).)

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