
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
Given the function f(x) = $$\begin{cases} 2^{x},x\leq 0 \\ f(x-2),x>0 \end{cases}$$, find the sum of f(1) + f(2) + f(3) + ... + f(2017).

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