
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 sum of the first $n$ terms of the sequence $\{a_n\}$ is $S_n$, and it satisfies $a_{n+2} = a_{n+1} - a_n$ ($n \in \mathbb{N}^*$), with $a_1 = 1$, $a_2 = 2$. Find $S_{2014}$.

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