
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
The function is given by $$f(x)= \frac {3}{9^{x}+3}$$.
(1) Find the value of $f(x) + f(1-x)$.
(2) Let $$S=f\left( \frac {1}{2017}\right)+f\left( \frac {2}{2017}\right)+f\left( \frac {3}{2017}\right)+\ldots+f\left( \frac {2016}{2017}\right)$$, find the value of $S$.

Present the answer in LaTex format: \boxed{Your answer}
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